Algebra 1 Polynomials and Factoring

Adding and Subtracting

100

Give the degree, leading coefficient, and classify the polynomial by the number of terms:

5x^4 + 3x^3 - 12x 

Degree: 4

LC: 5

Classify: Trinomial

200

Add:

(3x^2 + 7x) + (5x^2-5x)

8x^2+2x

300

Subtract:

(12x^2+8x - 12)-(6x^2+2x - 12)

6x^2+6x

400

Add:

(5x^3+4x^2-7x-8)+(-7x^2+12x - 9)

5x^3-3x^2+5x-17

500

Subtract:

(-x^2+9xy)-(x^2+6xy-8y^2)

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

Multiply and Divide

100

Multiply

3x^2(5x + 9)

15x^3+27x^2

200

Multiply:

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

6x^2+11x-35

300

Divide:

(5x^2-21x-20)/(x-5)

5x+4

400

Multiply:

(6x-3y)^2

36x^2-36xy+9y^2

500

Multiply:

(5x-8)(3x^2+4x-7)

15x^3-4x^2-67x+56

Factor Quadratic Trinomials

100

Factor:

x^2+14x+24

(x+12)(x+2)

200

Factor:

x^2-11x+30

(x-6)(x-5)

300

Factor:

x^2-4x-32

(x-8)(x+4)

400

Factor:

3x^2+22x-45

(3x-5)(x+9)

500

Factor:

6x^2-17x+5

(2x-5)(3x-1)

Factor Special and Completely

100

Factor:

x^2-9

(x-3)(x+3)

200

Factor:

4x^2-49

(2x-7)(2x+7)

300

Factor:

3x^2 +ax + 6x + 2a

(3x+a)(x+2)

400

Factor:

3r^5+3r^4-90r^3

3r^3(x+6)(x-5)

500

Factor:

5b^4-25b^3-20b^2+100b

5b(b-2)(b+2)(b-5)

Solve

100

Solve:

(x-4)(x+5)(x-1)=0

x = 4 or x = -5 or x = 1

200

Solve:

x(3x-2)(2x+1)=0

x=0 or x =2/3 or x = -1/2

400

Solve:

6x^4+8x^2=26x^3

x=0 or x=0 or x = 1/3 or x=4

500

Solve:

x^3-5x^2-16x=-80

x=5 or x=-4 or x = 4