Adding and Subtracting Polynomials

Adding

100

Add the polynomials:

(x² + 4x + 4) + (x² + 4x + 4)

2x² +8x + 8

200

Add the polynomials:

(3x⁴ + 6x² + 14x - 5) + (3x³ + 3x² - 10)

3x⁴ + 3x³ + 9x² + 14x - 15

300

Add the polynomials and write answer in standard form:

(15x + 6x³ - 2x² + x⁷) + (3x⁷ - 5x + 4x² - 6x³)

4x⁷ + 2x² + 10x

Subtracting

100

Subtract the polynomials and write the answer in standard form:

(3x² + 4x - 5) - (4x² - 5 + 3x)

-x² + x

200

Subtract the polynomials and write the answer in standard form:

(5x² + 3x + 7) - (x³ + 2x² + 1)

-x³ + 3x² + 3x + 6

300

Subtract the polynomials and write the answer in standard form:

(-7x² - 4x - 7) - (7x² - 4x - 11)

-14x² + 4

Degree

100

What is the degree of the polynomial?

3x⁵ + 3x⁴ + 2x + 7

5

200

What is the degree of the polynomial?

-x² + 3x - 5x⁴ + 7x 

4

300

What is the degree of the polynomial?

-x + x² - 3x³ + 2x² - x

3

Standard Form

100

Write the polynomial in standard form:

-3x² - x + 4 + 2x³

2x³ - 3x² - x + 4

200

Write the polynomial in standard form:

-x + x² - 4 + 5x² 

6x² - x - 4

300

Write the polynomial in standard form:

6x - 5x² + 14 + 3x - 2x³

-2x³ - 5x² + 9x + 14