Multiple ChoicePerform the indicated operation.(x3+3x2−7x)+2(x3−5x2+9x+4)\left(x^3+3x^2-7x\right)+2\left(x^3-5x^2+9x+4\right)(x3+3x2−7x)+2(x3−5x2+9x+4)240views6rankHas a video solution.
Multiple ChoicePerform the indicated operation.(−2x4+10x3+6x−3)−(x4−7x2+8x+5)\left(-2x^4+10x^3+6x-3\right)-\left(x^4-7x^2+8x+5\right)(−2x4+10x3+6x−3)−(x4−7x2+8x+5)222views9rankHas a video solution.
Textbook QuestionEvaluate each algebraic expression for the given value or value(s) of the variable(s). 3+6(x-2)^3 for x=4399viewsHas a video solution.
Textbook QuestionIn Exercises 1–6, find all numbers that must be excluded from the domain of each rational expression. 7/(x−3)329viewsHas a video solution.
Textbook QuestionIn Exercises 1–6, find all numbers that must be excluded from the domain of each rational expression. (x+5)/(x^2−25)359views1rankHas a video solution.
Textbook QuestionIn Exercises 1–8, multiply the monomials. (3x²y⁴)(5xy⁷)139viewsHas a video solution.
Textbook QuestionIn Exercises 1–8, multiply the monomials. (−3xy²z⁵)(2xy⁷z⁴)121viewsHas a video solution.
Textbook QuestionIn Exercises 5–8, find the degree of the polynomial. 3x^2−5x+4316viewsHas a video solution.
Textbook QuestionIn Exercises 5–8, find the degree of the polynomial. x^2−4x^3+9x−12x^4+63324views1rankHas a video solution.
Textbook QuestionIn 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)353viewsHas a video solution.
Textbook QuestionIn Exercises 9–14, perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. (−6x^3+5x^2−8x+9)+(17x^3+2x^2−4x−13)354viewsHas a video solution.
Textbook QuestionIn Exercises 9–14, perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. (17x^3−5x^2+4x−3)−(5x^3−9x^2−8x+11)267viewsHas a video solution.
Textbook QuestionIn 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)373viewsHas a video solution.
Textbook QuestionIn Exercises 9–22, multiply the monomial and the polynomial. 4xy(7x+3y)130viewsHas a video solution.
Textbook QuestionIn Exercises 15–32, multiply or divide as indicated. (6x+9)/(3x−15) ⋅ (x−5)/(4x+6)294viewsHas a video solution.
Textbook QuestionIn Exercises 9–22, multiply the monomial and the polynomial. 3ab² (6a²b³+5ab)132viewsHas a video solution.
Textbook QuestionIdentify 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. 15a^2b^3+12a^3b^8-13b^5+12b^6290viewsHas a video solution.
Textbook QuestionIn Exercises 15–58, find each product. (2x−3)(x^2−3x+5)217viewsHas a video solution.
Textbook QuestionIn Exercises 15–32, multiply or divide as indicated. (x^2−4)/(x^2−4x+4) ⋅ (2x−4)/(x+2)301viewsHas a video solution.
Textbook QuestionIdentify 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. (3/8)x^5-(1/x^2)+9378viewsHas a video solution.
Textbook QuestionIdentify 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. (2/3)t^6+(3/t^5)+1278viewsHas a video solution.
Textbook QuestionIn Exercises 15–32, multiply or divide as indicated. (x+5)/7 ÷ (4x+20)/9237viewsHas a video solution.
Textbook QuestionIn Exercises 15–32, multiply or divide as indicated. (x^2−4)/(x−2) ÷ (x+2)/(4x−8)236viewsHas a video solution.
Textbook QuestionAdd or subtract, as indicated. See Example 2. 3(8p^2-5p) - 5(3p^2-2p+4)223viewsHas a video solution.
Textbook QuestionIn Exercises 23–34, find each product using either a horizontal or a vertical format. (a−b)(a²+ab+b²)140viewsHas a video solution.
Textbook QuestionAdd or subtract, as indicated. See Example 2. -(8x^3+x-3) + (2x^3+x^2) - (4x^2+3x-1)207viewsHas a video solution.
Textbook QuestionIn Exercises 23–34, find each product using either a horizontal or a vertical format. (x²+2x−1)(x²+3x−4)130viewsHas a video solution.
Textbook QuestionIn Exercises 29–40, add the polynomials. Assume that all variable exponents represent whole numbers. (−6x³ + 5x² − 8x + 9) + (17x³ + 2x² − 4x − 13)150viewsHas a video solution.
Textbook QuestionIn Exercises 15–32, multiply or divide as indicated. (x^2−4)/(x^2+3x−10) ÷ (x^2+5x+6)/(x^2+8x+15)247viewsHas a video solution.
Textbook QuestionIn 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)256viewsHas a video solution.
Textbook QuestionIn Exercises 15–58, find each product. (4x^2+5x)(4x^2−5x)271viewsHas a video solution.
Textbook QuestionIn Exercises 33–68, add or subtract as indicated. (4x−10)/(x−2) − (x−4)/(x−2)202viewsHas a video solution.
Textbook QuestionIn Exercises 29–40, add the polynomials. Assume that all variable exponents represent whole numbers. (x²ⁿ + 5xⁿ − 8) + (4x²ⁿ − 7xⁿ + 2)136viewsHas a video solution.
Textbook QuestionFind each product. See Examples 3–5. (3y-5)(3y+5)(9y^2-25)243viewsHas a video solution.
Textbook QuestionIn Exercises 35–54, use the FOIL method to multiply the binomials. (4x+3)(5x+1)171viewsHas a video solution.
Textbook QuestionFind each product. See Examples 3–5. (x+1)(x+1)(x-1)(x-1)212viewsHas a video solution.
Textbook QuestionIn Exercises 35–54, use the FOIL method to multiply the binomials. (3y−4)(2y−1)127viewsHas a video solution.
Textbook QuestionIn Exercises 41–50, subtract the polynomials. Assume that all variable exponents represent whole numbers. (17x³ − 5x² + 4x − 3) − (5x³ − 9x² − 8x + 11)150viewsHas a video solution.
Textbook QuestionIn Exercises 33–68, add or subtract as indicated. 5/x + 3249viewsHas a video solution.
Textbook QuestionIn Exercises 42–46, simplify each algebraic expression. 5x+7x²-4x+2x²147viewsHas a video solution.
Textbook QuestionIn Exercises 33–68, add or subtract as indicated. 2/5x − (x+1)/4x246viewsHas a video solution.
Textbook QuestionIn Exercises 35–54, use the FOIL method to multiply the binomials. (3xy−1)(5xy+2)136viewsHas a video solution.
Textbook QuestionIn Exercises 35–54, use the FOIL method to multiply the binomials. (x−4)(x²−5)130viewsHas a video solution.
Textbook QuestionIn Exercises 33–68, add or subtract as indicated. (x+9)/10x^3 + 11/15x^2243viewsHas a video solution.
Textbook QuestionAdd 6x⁴−5x³+2x to the difference between 4x³+3x²−1 and x⁴−2x²+7x−3.223viewsHas a video solution.
Textbook QuestionIn Exercises 33–68, add or subtract as indicated. 3x/(x−3) − (x+4)/(x+2)238viewsHas a video solution.
Textbook QuestionIn Exercises 55–68, multiply using one of the rules for the square of a binomial. (2x + y)²139viewsHas a video solution.
Textbook QuestionIn Exercises 55–68, multiply using one of the rules for the square of a binomial. (5x − 3y)²144viewsHas a video solution.
Textbook QuestionPerform the indicated operations. See Examples 2–6. (x^4-3x^2+2) - (-2x^4+x^2-3)1295viewsHas a video solution.
Textbook QuestionPerform the indicated operations. See Examples 2–6. (7m+2n)^2234viewsHas a video solution.
Textbook QuestionPerform the indicated operations. See Examples 2–6. (3p+5)^2210viewsHas a video solution.
Textbook QuestionIn 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)262viewsHas a video solution.
Textbook QuestionIn Exercises 33–68, add or subtract as indicated. (4x^2+x−6)/(x^2+3x+2)−3x/(x+1)+5/(x+2)293viewsHas a video solution.
Textbook QuestionPerform the indicated operations. See Examples 2–6. -z^3(9-z) + 4z(2+3z)200viewsHas a video solution.
Textbook QuestionIn Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms. (x + 5)(x − 5)133viewsHas a video solution.
Textbook QuestionFind each product. Assume all variables represent positive real numbers. y^5/8(y^3/8-10y^11/8)226viewsHas a video solution.
Textbook QuestionIn Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms. (5x + 3)(5x − 3)133viewsHas a video solution.
Textbook QuestionFind each product. Assume all variables represent positive real numbers. -4k(k^7/3-6k^1/3)222viewsHas a video solution.
Textbook QuestionIn Exercises 67–82, find each product. (x−y)(x^2+xy+y^2)196viewsHas a video solution.
Textbook QuestionIn Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms. (1 − y⁵)(1 + y⁵)140viewsHas a video solution.
Textbook QuestionIn Exercises 69–82, multiply using the rule for the product of the sum and difference of two terms. (2 − y⁵)(2 + y⁵)170viewsHas a video solution.
Textbook QuestionPerform the indicated operations. Indicate the degree of the resulting polynomial. (7x^2-8xy+y^2)+(-8x^2-9xy-4y^2)551views1rankHas a video solution.
Textbook QuestionPerform the indicated operations. Indicate the degree of the resulting polynomial. (13x^3y^2-5x^2y-9x^2)-(-11x^3y^2-6x^2y+3x^2-4)331viewsHas a video solution.
Textbook QuestionIn Exercises 83–90, perform the indicated operation or operations. (3x+4y)^2−(3x−4y)^2356viewsHas a video solution.
Textbook QuestionIn Exercises 83–90, perform the indicated operation or operations. (3x+5)(2x−9)−(7x−2)(x−1)632viewsHas a video solution.
Textbook QuestionIn Exercises 83–94, find each product. (5x + 7y − 2)(5x + 7y + 2)127viewsHas a video solution.
Textbook QuestionIn Exercises 83–94, find each product. [5y + (2x+3)][5y − (2x+3)]139viewsHas a video solution.
Textbook QuestionThe special products can be used to perform selected multiplications. On the left, we use (x+y)(x-y) = x^2-y^2. On the right, (x-y)^2 = x^2-2xy+y^2. Use special products to evaluate each expression. 102^2189viewsHas a video solution.
Textbook QuestionThe special products can be used to perform selected multiplications. On the left, we use (x+y)(x-y) = x^2-y^2. On the right, (x-y)^2 = x^2-2xy+y^2. Use special products to evaluate each expression. < SEE SAMPLE B> 71^2325viewsHas a video solution.
Textbook QuestionIn Exercises 117–130, simplify each algebraic expression. 7x+5x252viewsHas a video solution.
Textbook QuestionIn Exercises 117–130, simplify each algebraic expression. 6x²-x²148viewsHas a video solution.
Textbook QuestionIn Exercises 121–128, write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. A number decreased by the sum of the number and four514views1commentsHas a video solution.
Textbook QuestionIn Exercises 121–128, write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. Six times the product of negative five and a number324viewsHas a video solution.
Textbook QuestionIn Exercises 121–128, write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. The difference between the product of six and a number and negative two times the number303viewsHas a video solution.
Textbook QuestionIn Exercises 121–128, write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. Eight decreased by three times the sum of a number and six445viewsHas a video solution.
Textbook QuestionIn Exercises 117–130, simplify each algebraic expression. 18x²+4-[6(x²-2)+5]131viewsHas a video solution.
Textbook QuestionReplace each boxed question mark with a polynomial that results in the given product. 2x³y² · ? = 12x⁵y⁴150viewsHas a video solution.