Polynomials and Factoring

Operations with Polynomials

100

Name the polynomial:

4x^3-8

Cubic Binomial

200

Write the following polynomial in standard form:

7ab^2-3a^2b+4a^3-9b^3

4a^3-3a^2b+7ab^2-9b^3

300

4x^2y-7xy^2+2xy(3x+2y)

10x^2y-3xy^2

400

(2x+3y)(4x-9xy+6y)

8x^2 -18x^2y-27xy^2+24xy+18y^2

500

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

24x^4+58x^3y-119x^2y^2-158xy^3+105y^4

GCF, Basic Trinomials, & Difference of Squares

100

x^2 +9x+18

(x+6)(x+3)

200

4x^2+36

4(x^2+9)

300

4x^2 -24x-160

4(x-10)(x+4)

400

a^4-14a^2b^2+45b^4

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

500

4x^3y-96x^2y-1152xy

4xy(x^2-24x-288)

Slip & Slide

100

3x^2 +4x-15

(x+3)(3x-5)

200

10x^2 +34x+12

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

300

12x^3-24x^2-153x

3x(2x+5)(2x-9)

400

12x^4-7x^2-45

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

500

54x^3y+45x^2y-264xy

3xy(6x-11)(3x+8)

Grouping

100

x^3+3x^2+2x+6

(x^2+2)(x+3)

200

4x^3-6x^2-14x+21

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

300

28x+12x^2y-9xy^2-21y

(3xy+7)(4x-3y)

400

24x^3-42x^2-216x+378

6(x+3)(x-3)(4x-7)

500

48x^5-80x^4y-243xy^4+405y^5

(4x^2+9y^2)(2x+3y)(2x-3y)(3x-5y)

Polynomial Divided by Polynomial

100

(18x^2y+12xy^2)/(3x+2y)

6xy

200

(4x^2-9)/(2x+3)

2x-3

300

(3x^2-12x-63)/(3x+9)

x-7

400

(3x^3+x^2-12x-4)/(3x^2+7x+2)

x-2

500

(12x^4+25x^2-7)/(18x^5+9x^4-98x-49)

(2x-1)/(3x^2-7)