2-3 Polynomial and Synthetic Division

Divide 2x²+3x-1 by x+1 using synthetic division

2x+1-2/(x+1)

Divide 6x²+7x-20 by 2x+5 using long division

3x-4

Divide 3x³-2x²-150 by x-4 using synthetic division

3x²+10x+40+10/(x-4)

Divide 27x³+64 by 3x+4 using long division

9x²-12x+16

Factor Theorem: A polynomial f(x) has a factor (x-k), if and only if f(k) equals what?

Factor Theorem: A polynomial f(x) has a factor (x-k), if and only if f(k) = 0.

Remainder Theorem: If f(x) is divided by (x-k), what is the remainder?

Remainder Theorem: If f(x) is divided by (x-k), the remainder r = f(k)