Polynomial Operations & Factoring

Factoring Trinomials

100

x²+8x+15

(x+5)(x+3)

200

-x²+11x-24

-(x-3)(x-8)

300

3x²+7x+2

(x+2)(3x+1)

400

8x²+40x-48

8(x+6)(x-1)

500

-8x²+44x+84

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

More Factoring Trinomials

100

x²-10x+25

(x-5)(x-5) or (x-5)²

200

2x²+14x+20

2(x+5)(x+2)

300

2x²-10x-48

2(x-8)(x+3)

400

14x²-58x-60

2(7x+6)(x-5)

500

-15x²+21x+18

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

Adding & Subtracting Polynomials

100

Add the following polynomials. Write your final answer in standard form.

(4x^2+4x-2)+(19x^2-7x+8)

23x^2-3x+6

200

Add the following polynomials. Write your final answer in standard form.

(13x^2-2x+1)-(9x^2+7x+8)

4x^2-9x-7

300

Add the following polynomials. Write your final answer in standard form.

(8x^2-5+x^3)+(10x^3+1-2x^2)

11x^3+6x^2-4

400

Subtract the following polynomials. Write your final answer in standard form.

(3x+2x^2-9)-(-8-11x-6x^2)

8x^2+14x-1

500

Subtract the following polynomials. Write your final answer in standard form.

(4xy+3x^2y-8xy^2-1)-(xy^2-2xy+8+2x^2y)

x^2y-9xy^2+6xy-9

Multiplying Polynomials

100

Multiply the polynomials. 

-3x^2(2x^3-4x^2-5x+1)

-6x^5+12x^4+15x^3-3x^2

200

Multiply the polynomials. 

(9x+1)(6x+2)

54x^2+24x+2

300

Multiply the polynomials. Write your final answer in standard form.

(4x-1)(3x^2-6x+7)

12x^3-27x^2+34x-7

400

Multiply the polynomials. Write your final answer in standard form.

(7x+4)(x-1)-x^2(x-8)

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

500

Multiply the polynomials. Write your final answer in standard form.

2x^2(x-5)-(3x+6)(4x-9)

2x^3-22x^2+3x+54

Factoring Binomials

100

p²-81

(p+9)(p-9)

200

49x²-100

(7x-10)(7x+10)

300

2x²-50

2(x-5)(x+5)

400

3x²-12x

3x(x-4)

500

-14x²-7x

-7x(2x+1)