Adding and Subtracting Polynomials

Like Terms

100

Combine like terms:

3x + 7 - x

2x - 7

200

Combine like terms:

4x² - 3x + x² - 5

3x² - 3x - 5

300

Combine like terms - leave answer in Standard Form:

-4x - 5x + 6x³ + 8

6x³ - 9x + 8

Adding

100

Add the polynomials:

(2x + 2) + (3x - 1)

5x - 1

200

Add the polynomials:

(x² + 4x + 4) + (x² + 4x + 4)

2x² +8x + 8

300

Add the polynomials:

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

3x⁴ + 3x³ + 9x² + 14x - 15

Subtracting

100

Subtract the polynomials and write the answer in standard form:

(2x + 15) - (x + 4)

x + 11

200

Subtract the polynomials and write the answer in standard form:

(3x² + 4x - 5) - (4x² - 5 + 3x)

-x² + x

300

Subtract the polynomials and write the answer in standard form:

(5x² + 3x + 7) - (x³ + 2x² + 1)

-x³ + 3x² + 3x + 6

Degree

100

What is the degree of the polynomial?

x² + x

2

200

What is the degree of the polynomial?

3x⁵ + 3x⁴ + 2x + 7

5

300

What is the degree of the polynomial?

-x² + 3x - 5x⁴ + 7x 

4

Standard Form

100

Write the polynomial in standard form:

2x + x²

x² + 2x

200

Write the polynomial in standard form:

-3x² - x + 4 + 2x³

2x³ - 3x² - x + 4

300

Write the polynomial in standard form:

-x + x² - 4 + 5x² 

6x² - x - 4