Polynomials Review

Degrees & Polynomials

100

Classify the polynomial

9x^2+7x

Binomial

200

Find the degree of the monomial.

14xy^3

4

300

Classify the polynomial and find the degree

8x^7+3x^5+2x^2

What is a trinomial of degree 7

400

Write the polynomial in standard form.

-4x+9-8x^2

-8x^2-4x+9

500

The exponent of a term in a polynomial

What is the Degree of a term?

Adding Polynomials

100

Simplify 

3x+2+6x

9x+2

200

Simplify 

9y^4+2y^2+5y^4

14y^4+2y^2

300

Simplify

(5y+6)+(3+7y)

12y+9

400

Simplify

(5m^2+9m+7m^3)+(2m+9m^3+11m^2)

16m^3+16m^2+11m

500

Simplify

(3x^3y+9x+3y^2+7y)+(8x^3y+9y^2)

11x^3y+12y^2+9x+7y

Subtracting Polynomials

100

Simplify

7n-9-2n

5n-9

200

Simplify

7y^4-3y^2-9y^4

-2y^4-3y^2

300

Simplify

(9p+2)-(4p+10)

5p-8

400

Simplify

(-3y^3+8y^5-6)-(9y^5+2-7y^3)

-y^5+4y^3-8

OR

-1y^5+4y^3-8

500

Simplify

(3x^2-11xy+10y^2)-(-4x^2+9xy-13y^2)

7x^2+23y^2-20xy

Multiplying Polynomials

100

Simplify

(3z^5)(6z^2)

18z^7

200

Simplify

7b(3b^2-b+6)

21b^3-7b^2+42b

300

Simplify

(5k+2)(3-6k)

30k^2+3k+6

400

Simplify

(5x-1)^2

What is 

25x^2-10x+1

500

Simplify

(3n+2)(2n^2-4)

6n^3+4n^2-12n-8

Factoring

100

Factor 

3x+9

What is 3(x+3)?

200

5a^4b^3-10a^2b

Factor 

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

300

Factor 

x^2-4x-21

(x-7)(x+3)

400

Factor

4x^2-22x+30

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

500

Factor

50x^2-18

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