Polynomials and Factoring

Adding & Subtracting Polynomials

100

 Name this Polynomial  2xy 

Quadratic Monomial

200

Name this Polynomial  3x^2y+5 

Cubic Binomial

300

 (5x-1)+(2x-3) 

7x-4

400

 (2x^2-4x-1)-(3x^2+8x-4) 

-x^2-12x+3

500

 (5b^4-2+3b^2)+(5b^2-4+3b^4) 

8b^4+8b^2-6

Multiplying Polynomials

100

(3x-5)(4x-9)

12x^2-47x+45

200

(x-5)(x+7)

x^2+2x-35

300

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

6x^2-13x-5

400

 (4x-3y)(5x+y) 

20x^2-11xy-3y^2

500

 (x+4)(x^2-3x-1) 

 x^3+x^2-15x-4 

Multiplying Special Cases

100

(b+12)(b+12)

b^2+24b+144

200

(4x+1)(4x+1)

16x^2+8x+1

300

(6x-9)(6x+9)

36x^2-81

400

(3a-5b)^2

9a^2-30ab+25b^2

500

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

9x^2-16y^2

Factoring Polynomials

100

Find the GCF of  14x^2y^2, 84x^3y^5, 21xy^3 

7xy^2

200

15x^3-42x

3x(5x^2-14)

300

6y^5-42y^3+18y

6y(y^4-7y^2+3)

400

12a^3+18a^2-36a

6a(2a^2+3a-12)

500

49a^5b^3-14a^2b^2+35ab

7ab(7a^4b^2-2ab+5)

Factoring x^2+bx+c

100

x^2-9x+14

(x-7)(x-2)

200

x^2+12x+32

(x+4)(x+8)

300

x^2+3x-28

(x+7)(x-4)

400

x^2-13x-48

(x+3)(x-16)

500

x^2+18xy+45y^2

(x+3y)(x+15y)

Factoring ax^2+bx+c

100

3x^2+10x+8

(3x+4)(x+2)

200

4x^2-3x-10

(4x+5)(x-2)

300

5x^2+7x-6

(5x-3)(x+2)

400

10x^2+3x-4

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

500

12x^2+22x+6

2(2x+3)(3x+1)

Factoring Special Cases

100

What is the value of c

x^2+16x+c

64

200

x^2+10x+25

(x+5)^2

300

3x^2+18x+27

3(x+3)^2

400

x^2-18x+81

(x-9)^2

500

9x^2-49y^2

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