Factoring Polynomials
Factor 4x2 - 81
(2x + 9)(2x - 9)
Explain the end behavior of the graph:
y = -7x4 + 11x - 19
right side down, left side down
Find all the zeros of the polynomial
f(x) = x3 - 13x2 +40x
0, 5, and 8
Write the following polynomial in standard form:
-5x2 + x6 - x4 + x3 - 9 + 7x
x6 - x4 + x3 - 5x2 + 7x - 9
Factor 2x2 - 2x - 112
2(x - 8)(x + 7)
Explain the end behavior of the graph:
y = -7x4 + 11x8 - 19
right side up, left side up
Find all the zeros of the polynomial
f(x) = x3 + 4x2 - 9x - 36
3, -3, -4
Divide the polynomials:
(x2 + 3x - 4) / (x - 1)
(x+4)
Factor -3x3 - 6x2 + 72x
-3(x + 6)(x - 4)
Explain the end behavior of the graph:
y = -7x4 + 11x - 19x9
right side down, left side up
Find all the zeros of the polynomial. Graph.
f(x) = x4 - 29x2 + 100
5, -5, 2, -2
Divide the polynomials:
(a2 + 14a + 40) / (a + 4)
(a+10)
Factor x3 - 27
(x - 3)(x2 + 3x + 9)
If a polynomial function goes up on the right and down on the left, what do you know about it?
The leading coefficient is positive and the degree is odd
Find all the zeros of the polynomial and graph. Hint: (x - 3) is a factor. f(x) = x3 - 3x2 - 10x + 24
zeros: 3, 4, -2
Divide the polynomials:
(12x2 - 7x - 12) / (3x - 4)
(4x + 3)
Factor -5x4 - 40x
-5x(x + 2)(x2 - 2x + 4)
How do you determine the right side and left side of the graph. Explain.
LC > 0, right up. LC < 0, right down.
deg even, left copy right. deg odd, left opposite right.
Find all the zeros and graph. Hint: (x + 1) is a factor. f(x) = -2(x3 + 2x2 - 13x - 14)
zeros: -1, -7, 2
Divide the polynomials:
(48x2 - 18x - 3) / (8x + 1)
(6x - 3)