4. Polynomial Functions

Divide using synthetic division. (2x²+x−10)÷(x−2)

Perform each division. See Examples 9 and 10. (3t²+17t+10)/(3t+2)

For each polynomial function, use the remainder theorem to find ƒ(k). ƒ(x) = - x³ + 8x² + 63; k=4

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

Use synthetic division to perform each division. (3x³+6x²-8x+3)/(x+3)

Solve the equation 2x³−3x²−11x+6=0 given that -2 is a zero of f(x)=2x³−3x²−11x+6.

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

Perform each division. See Examples 7 and 8. $(-4x^7-14x^6+10x^4-14x^2)/(-2x^2)$

Use synthetic division to find ƒ(2). ƒ(x)=2x³-3x²+7x-12

Use synthetic division to find ƒ(2). ƒ(x)=5x⁴-12x²+2x-8

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). (x³+5x²+7x+2)÷(x+2)

For each polynomial function, use the remainder theorem to find ƒ(k). ƒ(x) = 2x⁵ - 10x³ - 19x² - 50; k=3

Divide using long division. State the quotient, and the remainder, r(x). (4x⁴−4x²+6x)/(x−4)

For each polynomial function, use the remainder theorem to find ƒ(k). ƒ(x) = 2x² - 3x-3; k = 2