Factoring Review Unit 7

Identifying & simplifying Polynomials

100

Identify the polynomial by number of terms 

4x + 9

binomial

150

identify the polynomial by number of terms AND degree.

2x³

cubic monomial

200

Simplify 

-2x(3x - 4) + 7x

-6x² + 15x

250

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

300

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

Multiplying Polynomials

100

Multiply the Polynomials:

(3x² )(2x⁴)

6x⁶

150

Multiply the Polynomials:

(x - 3)²

x² - 6x - 9

200

Multiply the Polynomials:

(2m - 1)(2m + 1)

4m² - 1

250

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n² + 13n - 4

300

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Dividing Polynomials

100

Identify the GCF of the polynomial

3a^3b^2c - 9a^2b^3c^2 + 15ab^4c^3

3ab^2c

150

(18c^2 - 21c^2 + 3c)/(3c)

6c²-7c + 1

200

(x^2 - 81)/(x-9)

(x + 9)

250

(6n^2-1n -12)/(3n+ 4)

2n-3

300

(a^3 - 3a^2 + 8a - 24)/(a^2 + 8)

a - 3

Factoring

100

Factor:

p² + 25

prime

150

Factor:

49z² - 4 

(7z + 2)(7z - 2)

200

Factor out the GCF

9x⁶ − 63x³ − 90x²

9x²(x⁴ − 7x − 10)

250

Factor:

12v² + 11v -60  

(4v + 5)(3v - 1)  

300

10ab + 21 -15a - 14b

(5a - 7)(2b - 3)