4. Polynomial Functions

In Exercises 17–32, divide using synthetic division. (x⁵+x³−2)/(x−1)

In Exercises 17–32, divide using synthetic division. (x⁷+x⁵−10x³+12)/(x+2)

In Exercises 27–29, divide using long division. $(4x^4+6x^3+3x-1)÷(2x^2+1)$

In Exercises 33–40, use synthetic division and the Remainder Theorem to find the indicated function value. f(x)=x⁴+5x³+5x²−5x−6;f(3)

In Exercises 33–40, use synthetic division and the Remainder Theorem to find the indicated function value. f(x)=2x⁴−5x³−x²+3x+2;f(− 1/2)

In Exercises 33–40, use synthetic division and the Remainder Theorem to find the indicated function value. f(x)=6x⁴+10x³+5x²+x+1;f(− 2/3)

Use synthetic division to divide f(x)=x³−4x²+x+6 by x+1. Use the result to find all zeros of f.