Factoring By Grouping
How do you group this polynomial?
8x3 - 5x2 - 16x + 10
(8x3 - 16x) (-5x2 + 10)
What is a Polynomial?
An Expression With One or More Terms
What is a trinomial?
An expression with three terms
How do you use the AC method?
You find the two numbers that add up to the b term and multiply to the c term.
Factor By Grouping:
28n3 + 7n2 - 56n -14
7(4n + 1) (n2 - 2)
What is Standard Form?
Polynomials in order from greatest exponent to least
Factor Completely
x2 -13x + 30
(y-10) (y-3)
Factor using the AC method
x2 - 3x + 30
prime
Factor By Grouping
150a3 - 90a2 -90a + 54
6(5a2-3) (5a-3)
The Highest Exponent in a Polynomial
Factor Completely
4x2 + 36x - 40
4(x+10)(x-1)
Factor:
4x2 + 36x - 40
4(x+10)(x-1)
Factor By Grouping
128x3 + 48x2 + 320x +120
2(2x2+5) (8x+3)
What are Like Terms?
Terms with the same variable and exponent
Factor Completely
h2 - 4h - 96
(h-12) (h+8)
Factor:
h2 - 4h - 96
(h-12)(h+8)
Factor By Grouping
50b4 - 20b3 + 70b2 - 28b
2b(5b2+7) (5b-2)
Add or subtract the polynomial
(8p + 5p2 - 8p4) - (p4 - 2p2 + 3)
-9p4 + 7p2 + 8p -3
2x3 - 6x2 + 8x
2x(x2 -3x +4)
Factor:
4x2 + 16x + 15
(2x + 5)(2x+3)