4. Polynomial Functions

Perform each division. See Examples 7 and 8. (15m^3+25m^2+30m)/(5m^3)

Perform each division. See Examples 7 and 8. (8wxy^2+3wx^2y+12w^2xy)/(4wx^2y)

Perform each division. See Examples 9 and 10. (q^2+4q-32)/(q-4)

Perform each division. See Examples 9 and 10. (x^2+11x+16)/(x+8)

Perform each division. See Examples 9 and 10. (4x^3+9x^2-10x-6)/(4x+1)

Perform each division. See Examples 9 and 10. (10x^3+11x^2-2x+3)/(5x+3)

Perform each division. See Examples 9 and 10. (x^4+5x^2+5x+27)/(x^2+3)

Perform each division. See Examples 9 and 10. (k^4-4k^2+2k+5)/(k^2+1)

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)

Use synthetic division to find ƒ(2). ƒ(x)=x^5+4x^2-2x-4

In Exercises 17–32, divide using synthetic division. (3x^2+7x−20)÷(x+5)

Use synthetic division to perform each division. x^4-1 / x-1