Unit 7 Polynomials Review

Adding Polynomials

Subtracting Polynomials

Difference of Squares

Factoring GCF/ Special Products

Factoring

Square of a binomial

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

100

What is the formula for the product of a sum and difference (difference of squares)?

(a+b)(a-b) = a^2 - b^2

100

Factor out the GCF

30x-42

6(5x-7)

100

Factor (do not solve for x/ answer in the form (x+#) (x-#):

p² +2p -35

(p-5)(p+7)

100

What is the formula for the square of a binomial?

(a+b)^2 = a^2 + 2ab + b^2

(a-b)^2 = a^2 - 2ab - b^2

200

Add the polynomials:

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

4a + 3

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

200

Factor the polynomial

x²-1

(x-1) (x+1)

200

Factor out the GCF

5a³+2a²

a²(5a+2)

200

Factor the following polynomial:

x² - 10x + 21

(x-3)(x-7)

200

Multiply the square of a binomial below and find the product:

(x+2)²

x²+ 4x + 4

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

300

Find the product of the binomials below by using the product of a sum and difference formula:

(x+12) (x-12)

x² - 144

300

Factor:

2x² - 8

2(x+2)(x-2)

300

Factor:

z² - 4z - 21

(z+3)(z-7)

300

Factor the polynomial below by using the square of a binomial formula:

x² - 12x + 36

(x-6)² or (x-6)(x-6)

400

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

400

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

400

Factor the polynomial

16x²-9

(4x-3) (4x+3)

400

Factor:

4p² - 256

4(p+8)(p-8)

400

Factor the polynomial below using the slip and slide method:

3x² + 8x + 4

(3x + 2)(x + 2)

400

Factor the polynomial below:

4x² - 12x + 9

(2x - 3)²or (2x - 3)(2x - 3)

500

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³)

t³ +3t² +7t -3

500

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Factor the polynomial:

144x²-225

(12x-15) (12x+15)

500

Factor out the GCF

18n⁴+42n+6n²

6n(3n³+7+n)

500

Factor:

-5y² - 22y - 8

(-5y-2)(y+4)

500

Find the square of the binomial product below:

(3x - 4y)²

9x²- 24xy + 16y²