grade 10 unit 3 - factoring Flashcards
1
Q
factor 24xy²−12xy+36x²y
A
12xy(2y-1+3x)
2
Q
factor xy+12+4x+3y
A
(x+3)(y+4)
3
Q
factor ay²+3ay+4y+12
A
(ay+4)(y+3)
4
Q
factor x⁴+10x²y+9y²
A
(x²+y)(x²+9y)
5
Q
factor (x+a)²+3(x+a)+2
A
(x+a+1)(x+a+2)
6
Q
factor x²−9
A
(x-3)(x+3)
7
Q
factor x²+xy−42y²
A
(x-6y)(x+7y)
8
Q
factor 5n²-11n+6
A
(5n-6)(n-1)
9
Q
factor 9x²-9xy-4y²
A
(3x-4y)(3x+y)
10
Q
factor 5x²y-7xy+2y
A
y(5x-2)(x-1)
11
Q
factor 2x³+9x²+4x
A
x(x+4)(2x+1)
12
Q
factor 6m²-14m-12
A
2(m-3)(3m+2)
13
Q
factor 12q²+17q+6
A
(4q+3)(3q+2)
14
Q
how do you factor ax²+bx+c?
A
- divide the quadratic by the gcf if there is one
- find ac
- find a factor pair of ac that adds up to b
- split the quadratic up in ax²+f₁x+f₂x+c
- make the quadratic knowing in (wx+y)(sx+z): yz=c, ws=a, wz=f₁, and sy=f₂
15
Q
what is the difference of squares binomial?
A
(a-b)(b+a)
