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). (4x^4−4x^2+6x)/(x−4)

Use synthetic division to perform each division. (3x^3+6x^2-8x+3)/(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)=5x^3-3x^2+2x-6; k=2

In Exercises 1–16, divide using long division. State the quotient, and the remainder, r(x). (x^4+2x^3−4x^2−5x−6)/(x^2+x−2)

Use synthetic division to perform each division. (-9x^3 + 8x^2 - 7x+2) / x-2

In Exercises 1–16, divide using long division. State the quotient, and the remainder, r(x). (2x^5+9x^3+3x^2)/(3x^2+1)

Use synthetic division to perform each division. (1/3x^3 - 2/9x^2 + 2/27x - 1/81) / x - 1/3

In Exercises 17–32, divide using synthetic division. (4x^3−3x^2+3x−1)÷(x−1)

In Exercises 17–32, divide using synthetic division. (6x^5−2x^3+4x^2−3x+1)÷(x−2)

Use synthetic division to perform each division. x^7+1 / x+1

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) = 2x^3 + 3x^2 - 16x+10; k = -4