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Polynomial Review
Common Factoring
Common Factoring Problems
Easy Trinomials
Easy Trinomials Problems
100
What is a polynomial with two terms called?
A binomial.
100
What does GFC stand for?
Greatest Common Factor
100
2x+8
=2(x+4)
100
what is trinomial form?
x^2 + bx + c
100
Factor the following trinomial: x^2+ 3x + 2
=(x+2) (x+1)
200
What type of polynomial is the following: 32x^5- 4x-16
Trinomial
200
What is the GFC of the coefficients: 16, 24, 40.
GCF is 8.
200
6x+27
=3(2x+9)
200
what does PSF stand for?
Product, Sum, Factor
200
Factor the following trinomial: x^2 - 2x -8
= (x-4)(x+2)
300
What does polynomial mean?
Many terms.
300
The GFC is the biggest factor that _________ into the coefficients/ variable parts in a term.
Divides
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 GFC of the following polynomial: 4x^5 - 2x^2 +6x
GFC is 2x.
400
4x^6+ 16x^4 +24x^2
4x^2(x^4 + 4x^2 - 6)
400
Find the factors for x^2-x-20
P : 4 x -5 S: 4 + -5 F: (4, -5)
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 the following fully: 2x^3 + 12x^2 + 18x *Hint: you need to common factor first.
= 2x (x^2 + 6x +9) = 2x (x+3) (x+3)