4. Polynomial Functions

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

Perform each division. See Examples 7 and 8. $(8wx{y}^2+3w{x}^{2}y+12w^{2}xy)/\left(4w{x}^{2}y\right)$

Perform each division. See Examples 9 and 10. (q²+4q-32)/(q-4)

Perform each division. See Examples 9 and 10. (x²+11x+16)/(x+8)

Perform each division. See Examples 9 and 10. (4x³+9x²-10x-6)/(4x+1)

Perform each division. See Examples 9 and 10.

$\frac{(10x^3+11x^2-2x+3)}{(5x+3)}$

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.

$\frac{(k^4-4k^2+2k+5)}{(k^2+1)}$

Divide using long division. State the quotient, and the remainder, r(x). (x²+8x+15)÷(x+5)

Divide using long division. State the quotient, and the remainder, $r\left(x\right)$. $\frac{2x^3 + 7x^2 + 9x - 20}{x + 3}$

Use synthetic division to perform each division. (x⁵ + 3x⁴ + 2x³ + 2x² + 3x+1) / x+2

In Exercises 1–16, divide using long division. State the quotient, and the remainder, r(x). (6x³+13x²−11x−15)/(3x²−x−3)

Use synthetic division to find ƒ(2). ƒ(x)=x⁵+4x²-2x-4

Divide using synthetic division. (3x²+7x−20)÷(x+5)

Use synthetic division to perform each division. x⁴-1 / x-1