Ch. 7B Review - Per. 3

GCF

100

Factor out the GCF:

3m²+9m+27

3(m²+3m+9)

200

Factor out the GCF:

28v²⁺8v+36

4(7v²+2v+9)

300

Factor out the GCF:

18n²+15n-15

3(6n²+5n-5)

400

Factor our the GCF:

90x²+100x+60

10(9x²+10x+6)

500

Factor out the GCF:

40x²+72x+64

8(5x²+9x+8)

Diamond Problems

100

What numbers multiply to get 10 but add to get 7?

5 and 2

200

What numbers multiply to get 4 but add to get -5?

-1 and -4

300

What numbers multiply to get -24 but add to get 10?

12 and -2

400

What numbers multiply to get -49 but add to get 0?

7 and -7

500

What numbers multiply to get -24 but add to get -5?

-8 and 3

Factoring With GCF

100

Factor the following:

3x^2+21x+30

3(x+2)(x+5)

200

Factor the following:

2x^2+14x+24

2(x+4)(x+3)

300

Factor the following:

2x^2-16x+30

2(x-3)(x-5)

400

Factor the following:

3x^2-9x+6

3(x-2)(x-1)

500

Factor the following:

3x^2-3x-36

3(x+3)(x-4)

Factoring

100

Factor the following:

x^2+8x+12

(x+6)(x+2)

200

Factor the following:

x^2-4x-60

(x+6)(x-10)

300

Factor the following:

x^2+x-6

(x+3)(x-2)

400

Factor the following:

x^2-2x-15

(x-5)(x+3)

500

Factor the following:

x^2+x-20

(x-4)(x+5)

Name Polynomials

100

What is the name of this polynomial and what is the degree?

2x^2

Monomial, degree 2

200

What is the name of this polynomial and what is the degree?

-5n^4+10n-10

Trinomial, degree 4

300

What is the name of this polynomial and what is the degree?

8p^5-5p^3+2p^2-7

Polynomial, degree 5

400

What is the name of this polynomial and what is the degree?

8a+1

Binomial, degree 1

500

What is the name of this polynomial and what is the degree?

4b^6+5b^5+b^4

Trinomial, degree 6