The greatest shared multiple between EACH term
What is GCF
(3x+5) - (4x+1)
-x + 4
a2 + 2a + 1
(a+1)(a+1) = (a+1)2
(x+2)(x+3)
x2+5x+6
What is the GCF of
12a + 4b ?
4
I am trying to find two numbers that multiply to the whole number and add up to the middle term.
What is a factoring
x2 - 9x + 14
(x - 7)(x - 2)
(x-7)(x+2)
x2-5x-14
What is the gcf of
(9x + 6x2)?
3x
What is a Like Term?
A term with the same variable and same exponents.
(x3-7) - (8x3-2x)
-7x3 + 2x - 7
x2 + 12x + 20
(x + 10) (x + 2)
(2x+4)(x-8)
2x2-12x-32
Factor the GCF out: 7m4 -14m2 + 49m5
7m2 (2m2 - 2 + 7m3)
What is the OTHER method called when you multiply binomials, not box?
What is FOIL?
3p2 + 10p - 8
(3p - 2) (p + 4)
(x-4)2
x2-8x+16
Factor the GCF out: 10xy3 - 15x2y4 + 30y
5y(2xy2 - 3x2y3 + 6)
What is the relationship between factoring and multiplying polynomials?
Factoring is the opposite of multiplying
(6x2-8x -16) - (6x2+8x+ 16)
-16x - 32
12x2 + 17x + 6
(4x+3)(3x+2)
(x - 3)(x2 +4x + 6)
x3 + x2 -6x - 18
Factor the GCF out:
12b3c4d7 - 24bc3d4 + 48b5c8d9
12bc3d4 (b2cd3 - 2 + 4b4c5d5)