Subtracting Polynomials
Monomial x Polynomial
Binomial x Binomial
Classifying
100

Add the polynomials.  Answer must be in standard form!

(x2 + 3x + 5) + ( -x2 + 6x)

9x + 5

100

Classify as a monomial, binomial, or trinomial.

3x9 - 12x7

Binomial

200

Add the polynomials.  Answer must be in standard form!

(t2 + 3t3 - 3) + (2t2 + 7t - 2t3

t3 + 3t2 + 7t - 3



200

Classify as a monomial, binomial, or trinomial.

11x + 3x4 + 12x2

Trinomial

3x4 + 12x2 + 11x

300

Subtract the polynomials.  Answer must be in standard form!

(-x2 - 5) - (-3x2 - x - 8)

2x2 + x + 3

300

Write your answer in standard form!

(x + 1)(x + 12 )

F(irst), O(uter), I(nner), L(ast)

x2 + 12x + 1x + 12

x2 + 13x + 12

300

Classify as a monomial, binomial, or trinomial.

12xy2 - 4xy2 + 10xy2

Monomial

18xy2

400

Subtract the polynomials.  Answer must be in standard form!

(k2 + 6k3 - 4) - (5k3 + 7k - 3k2)

k3 + 4k2 - 7k - 4

400

Write your answer in standard form!

4wp(2w - 3p + 6)

8w2p - 12wp2 + 24wp

OR

-12wp2 + 8w2p + 24wp

400

Write your answer in standard form!

(x - 2)(x + 6)

F(irst), O(uter), I(nner), L(ast)

x+ 6x - 2x - 12

x+ 4x - 12

400

Classify as a monomial, binomial, or trinomial.

4x- 3x + 7 - 3x + 2x2 - 7

Binomial

6x- 6x

500

Subtract the polynomials.  Answer must be in standard form!

(2x - 3x2) - (x2 - 2x + 4)

-4x2 + 4x - 4

500

Write your answer in standard form!

2xy(3x2 - 3y + 6)

6x3y - 6xy2 + 12xy

500

Write your answer in standard form!

(x - 13)(x - 12)

F(irst), O(uter), I(nner), L(ast)

x2 - 12x - 13x + 156

x2 - 25x + 156

500

Classify as a monomial, binomial, or trinomial.

30m2b + 20m2 - 12m2b + 14b - 16m2 - 23b

Trinomial

18m2b + 4m2 - 9b

1500

What is the area of a rectangle with a width of (m + 5) feet and a length of m feet?

Area = Length x width

F(irst), O(uter), I(nner), L(ast)

m(m+5)

(m2 + 5m) feet2