0. Review of Algebra

Multiplying Polynomials

0. Review of Algebra

Multiplying Polynomials

Guided videos.

Learn with Patrick

Multiply Polynomials Using the Distributive Property

Special Products - Square Formulas

Special Products - Cube Formulas

Additional 1 creators.

Learn with other creators

How to Multiply Polynomials Properly - Nerdstudy

05:15

How to Multiply Polynomials Properly - Nerdstudy

Multiplying Polynomials - Math Tutorial

Multiplying Polynomials

Use FOIL Method to Multiply Polynomials Algebra

Special Polynomial Products

GreeneMath.com

457

views

Showing 5 of 5 videos

Practice this topic

Multiple Choice

Multiply the polynomials using FOIL.

$\left(x-5\right)\left(x-12\right)$

Multiply the polynomials using FOIL.

$\left(4x+7\right)\left(-x+6\right)$

Multiply the polynomials using FOIL.

$\left(x^2-3x\right)\left(2x+8\right)$

Multiply the polynomials.

$\left(x+4\right)\left(3x^2-2x+1\right)$

Multiply the polynomials.

$\left(x+3\right)\left(x-5\right)\left(-2x+1\right)$

Multiply the polynomials using special product formulas.

$\left(5x-9\right)\left(5x+9\right)$

Multiply the polynomials using special product formulas.

$\left(3x+5\right)\left(3x+5\right)$

Multiply the polynomials using special product formulas.

$\left(2x+4\right)^3$

In Exercises 1–8, multiply the monomials. (3x²)(5x⁴)

260

views

Textbook Question

In Exercises 1–4, is the algebraic expression a polynomial? If it is, write the polynomial in standard form. 2x+3x^2−5

490

views

Textbook Question

Evaluate each algebraic expression for the given value or value(s) of the variable(s). 3+6(x-2)^3 for x=4

575

views

Textbook Question

In Exercises 1–4, is the algebraic expression a polynomial? If it is, write the polynomial in standard form. (2x+3)/x

489

views

Textbook Question

Fill in the blank to correctly complete each sentence. In the term -6x^2y, -6 is the ______.

301

views

Textbook Question

In Exercises 1–6, find all numbers that must be excluded from the domain of each rational expression. (x−1)/(x^2+11x+10)

342

views

Textbook Question

In Exercises 5–8, find the degree of the polynomial. x^2−4x^3+9x−12x^4+63

In Exercises 7–14, simplify each rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. (3x−9)/(x^2−6x+9)

516

views

Textbook Question

In Exercises 9–22, multiply the monomial and the polynomial. 4x²(3x+2)

211

views

Textbook Question

In Exercises 7–14, simplify each rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. (y^2+7y−18)/(y^2−3y+2)

521

views

Textbook Question

In Exercises 9–22, multiply the monomial and the polynomial. 2y(y²−5y)

194

views

Textbook Question

Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.See Example 1. -5x^11

318

views

Textbook Question

In Exercises 9–22, multiply the monomial and the polynomial. 5x³ (2x⁵−4x²+9)

234

views

Textbook Question

In Exercises 9–14, perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. (5x^2−7x−8)+(2x^2−3x+7)−(x^2−4x−3)

383

views

Textbook Question

Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.See Example 1. 6x+3x^4

287

views

Textbook Question

In Exercises 7–14, simplify each rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. (x^2−14x+49)/(x^2−49)

286

views

Textbook Question

Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.See Example 1. -7z^5-2z^3+1

376

views

Textbook Question

In Exercises 15–58, find each product. (x+1)(x^2−x+1)

293

views

Textbook Question

In Exercises 15–32, multiply or divide as indicated. (6x+9)/(3x−15) ⋅ (x−5)/(4x+6)

381

views

Textbook Question

In Exercises 15–58, find each product. (2x−3)(x^2−3x+5)

283

views

Textbook Question

In Exercises 15–58, find each product. (x+7)(x+3)

291

views

Textbook Question

In Exercises 15–32, multiply or divide as indicated. (x^3−8)/(x^2−4) ⋅ (x+2)/3x

308

views

Textbook Question

Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.See Example 1. 5

670

views

Textbook Question

In Exercises 9–22, multiply the monomial and the polynomial. −4xⁿ (3x²ⁿ − 5xⁿ + 1/2 x)

240

views

Textbook Question

In Exercises 23–34, find each product using either a horizontal or a vertical format. (x−3)(x²+2x+5)

221

views

Textbook Question

Add or subtract, as indicated. See Example 2. (5x^2-4x+7) + (-4x^2+3x-5)

288

views

Textbook Question

Add or subtract, as indicated. See Example 2. (3m^5-3m^2+4) + (-2m^3-m^2+6)

326

views

Textbook Question

In Exercises 23–34, find each product using either a horizontal or a vertical format. (x−1)(x²+x+1)

283

views

Textbook Question

In Exercises 15–32, multiply or divide as indicated. (x^2−4)/(x−2) ÷ (x+2)/(4x−8)

313

views

Textbook Question

In Exercises 15–58, find each product. (2x−5)(7x+2)

325

views

Textbook Question

In Exercises 15–32, multiply or divide as indicated. (x^2+x)/(x^2−4) ÷ (x^2−1)/(x^2+5x+6)

257

views

Textbook Question

In Exercises 15–58, find each product. (7x^2−2)(3x^2−5)

308

views

Textbook Question

In Exercises 15–58, find each product. (7x^3+5)(x^2−2)

292

views

Textbook Question

Find each product. See Examples 3–5. (5m-6)(3m+4)

243

views

Textbook Question

In Exercises 15–32, multiply or divide as indicated. (x^2−4)/(x^2+3x−10) ÷ (x^2+5x+6)/(x^2+8x+15)

297

views

Textbook Question

Find each product. See Examples 3–5. x^2(3x-2)(5x+1)

271

views

Textbook Question

In Exercises 15–32, multiply or divide as indicated. (x^3−25x)/4x^2 ⋅ (2x^2−2)/(x^2−6x+5) ÷ (x^2+5x)/(7x+7)

358

views

Textbook Question

Find each product. See Examples 3–5. 4x^2(3x63+2x^2-5x+1)

266

views

Textbook Question

In Exercises 23–34, find each product using either a horizontal or a vertical format. (xy+2)(x²y²−2xy+4)

208

views

Textbook Question

In Exercises 29–40, add the polynomials. Assume that all variable exponents represent whole numbers. (7x²y − 5xy) + (2x²y − xy)

211

views

Textbook Question

In Exercises 33–68, add or subtract as indicated. (3x+2)/(3x+4) + (3x+6)/(3x+4)

400

views

Textbook Question

In Exercises 29–40, add the polynomials. Assume that all variable exponents represent whole numbers. (5x²y + 9xy + 12) + (−3x²y + 6xy + 3)

206

views

Textbook Question

In Exercises 35–54, use the FOIL method to multiply the binomials. (x+5)(x+8)

189

views

Textbook Question

In Exercises 29–40, add the polynomials. Assume that all variable exponents represent whole numbers. (9x⁴y² − 6x²y² + 3xy) + (−18x⁴y² − 5x²y − xy)

290

views

Textbook Question

In Exercises 35–54, use the FOIL method to multiply the binomials. (y+5)(y−6)

470

views

Textbook Question

Find each product. See Examples 3–5. (m-n+k)(m+2n-3k)

272

views

Textbook Question

Find each product. See Examples 3–5. (r-3s+t)(2r-s+t)

274

views

Textbook Question

Find each product. See Examples 3–5. (2x+3)(2x-3)(4x^2-9)

257

views

Textbook Question

In Exercises 35–54, use the FOIL method to multiply the binomials. (5x+3)(2x+1)

196

views

Textbook Question

In Exercises 33–68, add or subtract as indicated. 5/x + 3

313

views

Textbook Question

In Exercises 15–58, find each product. (x+5)^2

300

views

Textbook Question

In Exercises 33–68, add or subtract as indicated. 3x/8 + x/12

296

views

Textbook Question

Find each product. See Examples 5 and 6. (8s-3t)(8s+3t)

265

views

Textbook Question

In Exercises 35–54, use the FOIL method to multiply the binomials. (2x−3)(4x−5)

260

views

Textbook Question

In Exercises 15–58, find each product. (x−3)^2

267

views

Textbook Question

Find each product. See Examples 5 and 6. (4x^2-5y0(4x^2+5y)

289

views

Textbook Question

In Exercises 35–54, use the FOIL method to multiply the binomials. (x−3y)(2x+7y)

330

views

Textbook Question

In Exercises 41–50, subtract the polynomials. Assume that all variable exponents represent whole numbers. (x³ + 7xy − 5y²) − (6x³ − xy + 4y²)

224

views

Textbook Question

Find each product. See Examples 5 and 6. (4m+2n)^2

299

views

Textbook Question

In Exercises 35–54, use the FOIL method to multiply the binomials. (7xy+1)(2xy−3)

280

views

Textbook Question

In Exercises 41–50, subtract the polynomials. Assume that all variable exponents represent whole numbers. (3x⁴y² + 5x³y − 3y) − (2x⁴y² − 3x³y − 4y + 6x)

200

views

Textbook Question

In Exercises 33–68, add or subtract as indicated. 2/5x − (x+1)/4x

293

views

Textbook Question

In Exercises 41–50, subtract the polynomials. Assume that all variable exponents represent whole numbers. (7y²ⁿ + yⁿ − 4) − (6y²ⁿ − yⁿ − 1)

194

views

Textbook Question

In Exercises 33–68, add or subtract as indicated. (x+9)/10x^3 + 11/15x^2

290

views

Textbook Question

Subtract −5a²b⁴ − 8ab² − ab from 3a²b⁴ − 5ab² + 7ab.

229

views

Textbook Question

Find each product. See Examples 5 and 6. [(2p-3)+q]^2

290

views

Textbook Question

In Exercises 35–54, use the FOIL method to multiply the binomials. (7x³+5)(x²−2)

210

views

Textbook Question

In Exercises 33–68, add or subtract as indicated. 3/(x+1) − 3/x

284

views

Textbook Question

Find each product. See Examples 5 and 6. [(3q+5)-p][(3q+5)+p]

256

views

Textbook Question

In Exercises 35–54, use the FOIL method to multiply the binomials. (3xⁿ−yⁿ)(xⁿ+2yⁿ)

515

views

Textbook Question

Find each product. See Examples 5 and 6. [(9r-s)+2][(9r-s)-2]

276

views

Textbook Question

In Exercises 55–68, multiply using one of the rules for the square of a binomial. (x + 3)²

207

views

Textbook Question

In Exercises 33–68, add or subtract as indicated. 3x/(x−3) − (x+4)/(x+2)

294

views

Textbook Question

In Exercises 55–68, multiply using one of the rules for the square of a binomial. (y − 5)²

212

views

Textbook Question

In Exercises 15–58, find each product. (2x−3)^3

190

views

Textbook Question

Find each product. See Examples 5 and 6. (z-3)^3

260

views

Textbook Question

Find each product. See Examples 5 and 6. (q-2)^4

421

views

Textbook Question

Find each product. See Examples 5 and 6. (r+3)^4

264

views

Textbook Question

In Exercises 59–66, perform the indicated operations. Indicate the degree of the resulting polynomial. (7x^4 y^2−5x^2 y^2+3xy)+(−18x^4 y^2−6x^2 y^2−xy)

375

views

Textbook Question

Perform the indicated operations. See Examples 2–6. -3(4q^2-3q+2) + 2(-q^2+q-4)

363

views

Textbook Question

In Exercises 59–66, perform the indicated operations. Indicate the degree of the resulting polynomial. (3x^4 y^2+5x^3 y−3y)−(2x^4 y^2−3x^3 y−4y+6x)

329

views

Textbook Question

In Exercises 55–68, multiply using one of the rules for the square of a binomial. (4xy² − xy)²

200

views

Textbook Question

Perform the indicated operations. See Examples 2–6. 2(3r^2+4r+2) - 3(-r^2+4r-5)

286

views

Textbook Question

In Exercises 55–68, multiply using one of the rules for the square of a binomial. (aⁿ + 4bⁿ)²

200

views

Textbook Question

Perform the indicated operations. See Examples 2–6. m(5m-2) + 9(5-m)

262

views

Textbook Question

In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms. (x + 4)(x − 4)

219

views

Textbook Question

In Exercises 67–82, find each product. (3x−y)(2x+5y)

350

views

Textbook Question

In Exercises 67–82, find each product. (7x^2 y+1)(2x^2 y−3)

326

views

Textbook Question

Perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. (-6x^3+7x^2-9x+3)+(14x^3+3x^2-11x-7)

1199

views

Textbook Question

In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms. (4x + 7y)(4x − 7y)

221

views

Textbook Question

In Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms. (8x + 7y)(8x − 7y)

252

views

Textbook Question

In Exercises 67–82, find each product. (9x+7y)^2

305

views

Showing 100 of 100 practice

My Courses

Chemistry

Biology

Math

Physics

Business

Social Sciences

Programming

Product & Marketing

0. Review of Algebra

Multiplying Polynomials

Learn with Patrick

Learn with other creators

Practice this topic