Adding
Classify Polynomials
Parts of a Polynomial & Standard Form
Subtract
Degree of a Polynomial
100

Add.

(2x2 + 6x + 5) + (3x2 - 2x - 1)

5x2 + 4x + 4

100

Classify the polynomial by degree and number of terms. 

x - 4

binomial

100

Name the leading term and leading coefficient of the polynomial.

-2x3+3x-4

Leading term: -2x3

Leading coefficient: -2

100

Subtract. 


(2x2-2x+3)-(x2+5x-5)

x2-7x+8

100

Name the degree of the Polynomial: 

x5+x3+x2+x+1

Degree of 5

200

Add.

(5x2+8x-10)+(-12-x+3x2)

8x2+7x-22

200

Classify the polynomial by degree and number of terms. 

-7

monomial

200

Rewrite the polynomial in standard form. 


8x-2-6x3

-6x3+8x-2

200

Subtract.

 (2x2 - 4y + 7xy - 6y2) - (-3x2 + 5y - 4xy + y2)

5x2 - 7y2 -9y + 11xy

200

Name the degree of the polynomial:

6x3+4x2+3x+1

Degree of 3

300

Add.

(3x2 - 6x + xy) + (7x + 8y)

3x2+x+xy+8y

300

Classify the polynomial by degree and number of terms. 

5-6x3+4x

trinomial

300

Rewrite the polynomial in standard form. 


5x3+14x+7x2+3x-11-2x2

5x3+5x2+17x-11

300

Subtract. 


(7x2+11-5x) - (3x2+2x-11)

4x2-7x+22

300

Name the degree of the Polynomial: 

6x5−2x2+3x6+x−3x3

Degree of 6 

400

Add. 

(8x-x3+4-9x2)+(7x3+9x2-10-8x)

6x3-6

400

Classify the polynomial by degree and number of terms. 

-1+7x6+4x3+9x10

polynomial

400

Name the leading term and leading coefficient of the polynomial.

5x3+5x2+17x-11

Leading term: 5x3

Leading coefficient: 5

400

(5x4 - 2x+ 4x - 3) - (5x4 + 3x3 - 4x + 3)

-3x- 2x2 + 8x - 6

400

Name the degree of the Polynomial: 

x+7

Degree of 1 

500

(3x2 + 7x - 5y) + (2x2 - 4x + 3y2 )

5x2+3x-2y2

500

Simplify and classify the polynomial

4x2-4x2+3x4-5x2+x4

binomial

500

Simplify the polynomial by combining like terms. Then list all the coefficients. 


2ab2+3a2b-6b-2ba2+3a-b-8

2ab2+a2b-7b+3a-8

Coefficients: 2, 1, -7, 3, -8

500

Subtract. 


(x-2x3+8-7x2) - (8+5x-3x3)

x3-7x2+x

500

Name the degree of the polynomial:

ab2+a2b3−a3b1

Degree of 5

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