Unit 7 Review

Unit 6 Review

100

Put the following polynomial and standard form and name it by number of terms: 

3x²+5x⁴-x²-4+x

5x⁴+2x²+x-4

Polynomial

200

Add the polynomials: 

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

300

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

400

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

500

Multiply the Polynomials:

(2x - 3)(x - 1)

2x² - 5x + 3

Factoring GCF

100

Factor the GCF out of the polynomial: 

-6x²+18x

6x(-x+3)

200

Factor the GCF out of the polynomial: 

-12n³+16n²-12n

4n(-3n²+4n-3)

300

Factor the GCF out of the polynomial: 

4x⁴+2x³+18x²

2x²(2x²+x+6)

400

Factor the GCF out of the polynomial: 

2xy³-x²+x⁵

x(2y³-x+x⁴)

500

Factor the GCF out of the polynomial: 

2xy+3y²+7x

There is no GCF!

Difference of Squares

100

Factor the polynomial: 

x²-49

(x-7)(x+7)

200

Factor the polynomial: 

4x²-9

(2x-3)(2x+3)

300

Factor the polynomial: 

2x²-128

2(x-8)(x+8)

400

Factor the polynomial: 

16x³+25x

x(4x-5)(4x+5)

500

Factor the polynomial: 

2x³-8x

2x(x-2)(x+2)

Standard Factoring

100

Factor the polynomial: 

p²+8p+15

(p+5)(p+3)

200

Factor the polynomial: 

k²-7k+6

(k-1)(k-6)

300

Factor the polynomial: 

a²-16a+60

(a-6)(a-10)

400

Factor the polynomial: 

2x²+6x-80

2(x+8)(x-5)

500

Factor the polynomial: 

x²+5xy-6y²

(x+6y)(x-y)

Slide and Divide

100

Factor the polynomial: 

3n²-20n-100

(3n+10)(n-10)

200

Factor the polynomial: 

7v²-64v-60

(7v+6)(v-10)

300

Factor the polynomial: 

5r²+47r+56

(5r+7)(r+8)

400

Factor the polynomial: 

9v²-3v-20

(3v-5)(3v+4)

500

Factor the polynomial: 

35b²+310b+240

5(7b+6)(b+8)