Chapter 7 Test Review (polynomials and factoring)

Adding/Subtracting Polynomials

100

Add the polynomials

(7n+2-3n^2)+(3+3n+2n^2)

(-3+2)n^2+(7+3)n+(2+3)

-n^2+10n+5

200

Subtract the polynomials

(2b^4+2-b^2)-(4b^3+6b^2+5)

2b^4-4b^3+(-1-6)b^2+(2-5)

2b^4-4b^3-7b^2-3

300

Subtract the polynomials

(8w^3t^2+6wt^2+6w)-(4w^3t^2-2wt^2-3w)

(8-4)w^3t^2+(6-2)wt^2+(6-(-3))w

4w^3t^2+8wt^2+9w

400

2x (3x - 4y + 5) - 3x (4x + 7y)

6x^2 - 8xy + 10x - 12x^2 - 21xy

-6x^2-29xy+10x

Factoring a Trinomial with A not 1

100

3n²+5n+2

(n+1)(3n+2)

200

6m² - 13m + 6

(2m-3)(3m-2)

300

8x² - 2x -10

2(4x-5)(x+1)

400

20x²+55x +30

5(x+2)(4x+3)

Multiplying Polynomials

100

Find the product.

(x-3)(x-5)

x^2-3x-5x+15

x^2-8x+15

200

Find the product.

(4a-4)(2a+1)

8a^2+4a-8a-4

8a^2-4a-4

300

(2a - 3b) (4a + 5b)

8a^2 -2ab - 15b^2

400

Find the product.

(x+3)(x^2-2x+1)

x^3-2x^2+1x+3x^2-6x+3

x^3+x^2-5x+3

A little of everything

100

If a square has a side of (2x + 3) what is the area of the square? 

4x^2 +12x +9

200

2x^2y (3xy - 5x + 3y) - 4x^3y^2 +2x^3y

2x^3y^2 -8x^3y +6x^2y^2

300

Simplify 

(x-5)^2 - 3(x +8)

x^2 - 13x + 1

400

Factor completely

16x^4 - y^4

 

(4x^2 + y^2)(2x +y)(2x -y)

Factoring a trinomial with A = 1

100

z^2-7z+12

(z-3)(z-4)

200

x^2 - 5x - 24 

(x-8)(x+3)

300

2x^2-8x-10

2 (x^2 - 4x - 5)

2(x-5)(x+1)

400

3x^2 - 24x + 36

3(x^2 - 8x + 12)

3(x -6)(x-2)

More Factoring

100

x^2 - 64

(x-8)(x+8)

200

Factor 

36x^2 - 25

(6x - 5) (6x + 5)

300

Factor

49x^2 - 9y^2

(7x - 3y)(7x + 3y)

400

8a^2 - 18b^2

2(4a^2 - 9b^2)

2(2a - 3b)(2a + 3b)