Factor by Grouping
Factor
x2 - 3x + 4ax - 12a
What is
(x+4a)(x-3)?
It's what you should look for to factor out first every time.
What is GCF?
Factor x2-1
What is
(x-1) (x+1)?
Factor m2+10m+25
What is
(m+5)2?
Factor
p2 +2p -35
What is
(p-5)(p+7)?
Multiply to 6
Add to 7
What are
6 & 1?
Factor
9n3+3n2+21n+7
What is
(3n2+7)(3n+1)?
It's what you play when looking for two numbers that MULTIPLY to ac and ADD to b.
What is the X-GAME?
Factor x2-144
What is
(x+12)(x-12)?
Factor
x2+8x+16
What is
(x+4)2?
Factor:
z2 - 4z - 21
What is
(z+3)(z-7)?
Multiply to -10
Add to 9
What are
-1 & 10?
Factor
25a3-40a2+10a-16
What is
(5a2+2)(5a-8)?
This is the form of a quadratic trinomial.
What is
ax2 + bx + c?
Factor 16x2-9
What is
(4x-3)(4x+3)?
Factor 25x2+10x+1
What is
(5x+1)2?
Factor
-5y2 - 22y - 8
What is
(-5y-2)(y+4)?
Multiply to -14
Add to 5
What are 7 & -2?
Factor
3x3+x2+21x+7
What is
(x2+7)(3x+1)?
When dividing the GCF out of a polynomial, this rule can actually help you.
What is the QUOTIENT RULE?
Factor 100x2-81
What is
(10x-9)(10x+9)?
Factor
x2 + 4x + 4
What is (x+2)2?
Factor
7x2-15x-18
What is
(x-3)(7x+6)?
Multiply to -54
Add to -3
What are
-9 & 6?
Factor
20v3-32v2-60v+96
What is
4(v2-3)(5v-8)?
When factoring polynomials, you can rewrite the original polynomial, replacing the X-game values as these.
What are COEFFICIENTS of x?
Factor 49x2-4
What is
(7x-2)(7x+2)?
Factor
a2-8a+16
What is
(a-4)2?
Factor
3k2+13k+10
What is
(k+1)(3k+10)?
Multiply to -150
Add to -19
What are
6 & -25?