Polynomials

Combining like terms

100

Combine:

12x³ y² - 5x³ y²=

7x³ y²

200

Combine :−9k + 8k 

Is the answer a monomial, binomial, or trinomial?

-k is a monomial

300

Combine:

−5n + 3(6 + 7n)=

16n + 18  

400

Combine:

2x² + 3x − 4 − x² + x + 9=

x² + 4x + 5

500

Combine:

10x³ − 14x² + 3x − 4x³ + 4x − 6=

6x³ − 14x² + 7x − 6

Multiplying

100

Multiply: 

6x(3x-2)=

18x²-12x

200

Multiply:

(2xy)(4y)=

8xy²

300

Multiply:

2x(x+3xy) =

2x²+ 6x²y

400

Multiply:

 (5y²– 2y + 3)(3y – 4)=

15y³ – 26y² + 17y – 12

500

Multiply:

(2x + 1) (3x² − x + 4)=

6x³ + x² + 7x + 4

Dividing

100

Divide:

20x by 5x =

4

200

Divide:

a²+ab-ac by -a=

-a-b+c

300

Divide:

6x⁵ + 18x⁴ – 3x² by 3x²=

2x³ + 6x² – 1.

400

divide :

Divide 24x³ – 12xy + 9x by 3x.

8x² – 4y + 3

500

Divide:

x²+5x-28 by x-3=

r: 4/  x-3

Factoring

100

Factor:

x²−7x−18=

(x+2)(x-9)

200

Factor:

x²−17x+72=

(x−8)(x−9)

300

Factor:

x²+9x+20=

(x+4)(x+5)

400

Factor:

x²−9x+8=

(x−1)(x−8)

500

Factor:

 20x² − 17x − 63=

(4x − 9)(5x + 7)

Random

100

4+4=

8

200

Rewrite the following polynomial in standard form.

x²+4x³−1

4x³+x²−1

300

Express as a trinomial.

(3x−7)(2x−3)

6x²−23x+21

400

Factor the expression completely.

8x²−7x

x(8x−7)

500

Express as a trinomial.

(x−5)(3x+9)

3x²−6x−45