Algebra - Module 10 Review

+ and - Polynomials

100

Find the sum: (4y+5)+(-7y-1)

-3y+4

200

Find the difference:  (-x^2+3x)-(5x+2x^2)  

-3x^2-2x

300

Simplify:  (w^2-4w-1)+(-5+5w^2-3w) 

6w^2-7w-6

400

Simplify:  (4y^2+2y-8)-(7y^2+4-y) 

-3y^2+3y-12

500

Simplify:  (4x^2+6xy+2y^2)-(-5y^2-x^2+2xy) 

5x^2+4xy+7y^2

x Polynomials

100

Simplify:  w(3w+2)+5w 

3w^2+7w

200

Simplify:  4b(-5b-3)-2(b^2-7b-4) 

-22b^2+2b+8

300

Find the product:  (3n-7)(n+3) 

3n^2+2n-21

400

Find the product:  (w+4)(w^2+3w-6) 

w^3+7w^2+6w-24

500

Find the product:

 (2x^2-2x-3)(2x^2-4x+3) 

4x^4-12x^3+8x^2+6x-9

1000

Solve the equation:

 x(x-5)+8x=x(x+2)-4 

-4

Special Products

100

Find the product:  (2x-8)^2 

4x^2-32x+64

200

Find the product:  (x^2+1)^2 

x^4+2x^2+1

300

Find the product:  (2b^2-g)(2b^2+g) 

4b^4-g^2

400

Factor:  8x^2-72p^2 

8(x+3p)(x-3p)

500

Factor:  50x^2-60x+18 

2(5x-3)^2

1000

Solve the equation by factoring: 

16x^2-9=0

+- 3/4

Factoring 1

100

Factor:  55p^2-11p^4+44p^3 

11p^2(5-p^2+4p)

200

Factor:  9ax^3+18bx^2+24cx 

3x(3ax^2+6bx+8c)

300

Factor:  12a^2-15ab-16a+20b 

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

400

Factor:  -6mp+4m+18p-12 

(-2m+6)(3p-2)

500

Factor:  4x^2y^2-9y^2-45+20x^2 

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

Factoring 2

100

Factor:  x^2+12x+20 

(x+10)(x+2)

200

Factor:  n^2-3n-28 

(n-7)(n+4)

300

Factor:  4h^2+8h-5 

(2h+5)(2h-1)

400

Factor:  3a^2+30a+63 

3(a+7)(a+3)

500

Factor:  8z^2+20z-48 

4(z+4)(2z-3)

1000

Solve the equation:  8q^2-10q+3=0 

{1/2,3/4}