Adding, Subtracting, and Classifying Polynomials

Classify Polynomials

100

Classify the polynomial by degree and number of terms. 

x - 4

Linear binomial

200

Classify the polynomial by degree and number of terms. 

-7

Constant monomial

300

Classify the polynomial by degree and number of terms. 

5-6x³+4x

Cubic trinomial

400

Classify the polynomial by degree and number of terms. 

-1+7x⁵+4x³+9x

Quintic polynomial

500

4x²-4x²+3x⁴-5x²+x⁴

Quartic binomial

Parts of a Polynomial & Standard Form

100

Name the leading term and leading coefficient of the polynomial.

-2x³+3x-4

Leading term: -2x³

Leading coefficient: -2

200

Rewrite the polynomial in standard form. 

8x-2-6x³

-6x³+8x-2

300

Rewrite the polynomial in standard form. 

5x³+14x+7x²+3x-11-2x²

5x³+5x²+17x-11

400

Name the leading term and leading coefficient of the polynomial.

5x²-5x³+17x-11

Leading term: -5x³

Leading coefficient: -5

500

What is the degree of the polynomial?  

2ab²+3a²b-6b-2ba²

3

Adding

100

Add.

(2x² + 6x + 5) + (3x² - 2x - 1)

5x² + 4x + 4

200

Add.

(5x²+8x-10)+(-12-x+3x²)

8x²+7x-22

300

Add.

(3x² - 6x + xy) + (7x + 8y)

3x²+x+xy+8y

400

Add. 

(8x-x³+4-9x²)+(7x³+9x²-10-8x)

6x³-6

500

P = 3x² + xy - 5y², Q = 2x² - xy + 3y² and R = -6x² + 4xy - 7y² What is P + (Q + R) ?

-x²+4xy-9y²

Subtracting

100

Subtract. 

(2x²-2x+3)-(x²+5x-5)

x²-7x+8

200

Subtract.

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

5x² - 7y² -9y + 11xy

300

Subtract. 

(7x²+11-5x) - (3x²+2x-11)

4x²-7x+22

400

If P = 5x⁴ - 2x² + 4x - 3 and Q = 5x⁴ + 3x³ - 4x + 3, what is P - Q?

What is -3x³ - 2x² + 8x - 6

500

Subtract. 

(x-2x³+8-7x²) - (8+5x-3x³)

x³-7x²+x

Multiplying

100

x(x+3)

x²+3x

200

(x+1)(x+2)

x²+3x+2

300

(x+3)(x-7)

x²-4x-21

400

(4x+3)(x+2)

4x²+11x+6

500

(x-2)(x²+3x-5)

x³+x²-11x+10