Category 1: Multiply Monomials with Polynomials
2(4x^2+4x)=
8x^2+8x
(x+2)(x+4)=
x^2+6x+8
What is the largest number that 10, 15 and 20 can be divided by?
Group the following into two groups:
3x^3+2x^2+3x+2
(3x^3+2x^2)(3x+2)
Group the following into two groups:
6x^3+9x^2-2x-3
(6x^3+9x^2)(-2x-3)
1(4x^2+6x+9)=
4x^2+6x+9
(x+2)(x+6)=
x^2+8x+12
What is the largest number that 8, 12 and 24 can be divided by?
Factor by grouping:
3n^3-4n^2+9n-12
(3n^3-4n^2)(9n-12)
Factor by grouping:
m^3-m^2+2m-2
(m^2+2)(m-1)
6(4x^3+2x)=
24x^3+12x
(x+4)^2=
x^2+8x+16
What is the GCF of
(6x^2+3x+3)
Factor by grouping:
12a^3-9a^2+4a-3
(3a^2+1)(4a-3)
Factor by grouping:
12n^3+4n^2+3n+1
(4n^2+1)(3n+1)
4x(5x^2+6x+2)=
20x^3+24x^2+8x
(x-5)^2=
x^2-10x+25
What is the GCF of
(4x^3+8x^2+12x)?
Factor by Grouping:
2x^3+6x^2-x-3
(2x^2-1)(x+3)
Factor by grouping:
4r^3-6r^2-2r+3
(2r^2-1)(2r-3)
5x^3(2x^3+4x^2+5x)=
10x^6+20x^5+25x^4
(x+3)(x-3)=
x^2-9
What is the GCF of
(16x^2+24x^3+32x^4)?
8x^2
Factor by grouping:
2n^3+6n^2-3n-9
(2n^2-3)(n+3)
Factor by grouping:
3v^3-3v^2-2v+2
(3v^2-2)(v-1)