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Polynomial Review
Common Factoring
Common Factoring Problems
Trinomials
Trinomials Problems
100
What is a polynomial with two terms called?
A binomial.
100

What is a GCF?

Greatest Common Factor. The biggest number that factors into a constant/variable.

100
2x+8
=2(x+4)
100

what is trinomial form?

ax^2 + bx + c

100
Factor the following trinomial: x^2+ 3x + 2
=(x+2) (x+1)
200

What is the GCF of: 32x^5- 4x-16

4

200

What is the GCF of the coefficients: 16, 24, 40.

GCF is 8.

200
6x+27
=3(2x+9)
200

What is the first step when factoring this trinomial: 2x^2+4x-16

factor out a GCF of 2

200
Factor the following trinomial: x^2 - 2x -8
= (x-4)(x+2)
300
What does polynomial mean?
Many terms.
300

Find the GCF of the following polynomial: 8y^4 - 4y^2 +16y

4y

300
5x^2 + 15x -5
= 5(x^2 + 3x - 1)
300
What numbers do you multiply to get____ and add to get ___?
What numbers do you multiply to get C and add to get B.
300
Factor the following trinomial: x^2 + 12x + 7
=(x + 3) (x + 4)
400
Simplify the following: (3x+4) + (5x+2)
= 8x+6
400

Find the GCF of the following polynomial: 4x^5 - 2x^2 +6x

GCF is 2x.

400
4x^6+ 16x^4 +24x^2
4x^2(x^4 + 4x^2 - 6)
400

Factor m^2 - 24m + 144

(m - 12)(m - 12)

400
Factor the following Trinomial: x^2 +3x -28
= (x+7) (x-4)
500

Expand and Simplify the following: 2(x-4) + 5(x+3)

=7x+7

500
In factoring, you want to express each polynomial as a series of ___________s in order to get a product. (multiplication)
factors.
500
9x^2 - 36x +18
= 9(x^2 - 4x + 2)
500

Factor r^2+4r+3

(r+3)(r+1)

500

Factor the following fully: 2x^3 + 12x^2 + 18x *Hint: you need to common factor first.

=2x (x+3) (x+3)