4. Polynomial Functions

In Exercises 1–16, divide using long division. State the quotient, and the remainder, r(x). (x^3+5x^2+7x+2)÷(x+2)

In Exercises 1–16, divide using long division. State the quotient, and the remainder, r(x). (6x^3+7x^2+12x−5)÷(3x−1)

Use synthetic division to perform each division. (x^3 + 3x^2 +11x + 9) / x+1

In Exercises 1–16, divide using long division. State the quotient, and the remainder, r(x). (3x^2−2x+5)/(x−3)

In Exercises 1–16, divide using long division. State the quotient, and the remainder, r(x). (x^2+8x+15)÷(x+5)

In Exercises 1–16, divide using long division. State the quotient, and the remainder, r(x). (2x^3+7x^2+9x−20)/(x+3)

Use synthetic division to perform each division. (x^5 + 3x^4 + 2x^3 + 2x^2 + 3x+1) / x+2

In Exercises 1–16, divide using long division. State the quotient, and the remainder, r(x). (6x^3+13x^2−11x−15)/(3x^2−x−3)

In Exercises 1–16, divide using long division. State the quotient, and the remainder, r(x). (12x^2+x−4)÷(3x−2)

In Exercises 1–16, divide using long division. State the quotient, and the remainder, r(x). (2x^3+7x^2+9x−20)/(x+3)

Use synthetic division to perform each division. (x^4 + 4x^3 + 2x^2 + 9x+4) / x+4

In Exercises 1–16, divide using long division. State the quotient, and the remainder, r(x). (x^4−81)/(x−3)

In Exercises 1–16, divide using long division. State the quotient, and the remainder, r(x). (12x^2+x−4)÷(3x−2)

Use synthetic division to perform each division. (5x^4 +5x^3 + 2x^2 - x-3) / x+1

In Exercises 1–16, divide using long division. State the quotient, and the remainder, r(x). (x^4−81)/(x−3)

Use synthetic division to divide ƒ(x) by x-k for the given value of k. Then express ƒ(x) in the form ƒ(x)=(x-k)q(x)+r. ƒ(x)=-3x^3+5x-6; k=-1