Long and Synthetic Division
Divide using synthetic division:
(3x^3+2x^2-8x+1)div(x+2)
3x^2-4x, r1
Factor the cubic given x-3 is a factor:
x^3-6x^2+11x-6
(x-2)(x-1)(x-3)
What is the remainder if you divide a polynomial by one of the factors?
0
Divide using synthetic division:
(x^4-2x^3-4x+3)div(x-3)
x^3+x^2+3x+5, r18
Given -4 is a zero of the cubic, find the other zeros.
x^3+5x^2+2x-8
-2, 1
If you use synthetic division to divide a CUBIC, what type of function is the quotient?
Quadratic (will always be one less)
Divide using long division:
6x^3-13x^2+x+2
3x^2-5x-2
Factor the cubic given that x+2 is a factor:
2x^3+7x^2-3x-18
(2x-3)(x+3)(x+2)
If given 5 is a ZERO of a polynomial, what is the factor?
x-5
Divide using long division:
(x^3+64)div(x^2-4x+16)
x+4
Find the zeros of the cubic given that 4 is a zero.
3x^3-7x^2-18x-8
-1, -2/3
Use the Remainder Theorem to determine the remainder when these polynomials are divided:
(2x^8-1)/(x+1)
1