Polynomials

Add polynomials

100

(5x - 8) + (7x + 13)

 12x + 5

200

(2y² - 6y + 7)+(3y² - 9y - 10)

 5y² -15y -3

300

(4z³ - 5) + (7z² - 2z + 8)

4z³ + 7z² - 2z + 3

400

(5w³ - w + 3) + (w³ - 9w² + 4w)

6w³ - 9w² +3w +3

500

(3x³ - 6x² - 7x + 5) + (x³ + 8x + 3)

4x³ - 6x² + x +8

Subtract polynomials

100

(5x + 2) - (8x - 6)

-3x +8

200

(y³ + 4y² - 5y) - (4y³ + y² - 7 )

-3y³ + 3y² - 5y + 7

300

(4y² + 9y - 5) - (4y² - 5y + 3 )

14y - 8

400

(8w⁴ - 2w² + w - 4) - (3w³ - 12w² + 8w)

 8w⁴ - 3w³ + 10w² - 7w - 4

500

(7p⁵ - 8p³ + p - 2p²) - (6p² - 8p³ - 7 + 5p⁴)

 7p⁵ - 5p⁴ - 8p² + p + 7

Multiply polynomials

100

3p(2p⁴ + 6p²)

6p⁵ + 18p³

200

(4y² + 7)(3y - 9)

12y³ - 36y² + 21y - 63

300

(w - 6)(5w² + w - 8)

5w³ - 29w² -14w + 48

400

(2x - 4)²

4x² -16x +16

500

(6x² + 6x + 2)(3x² + 5x + 7)

18x⁴ + 48x³ + 78x² + 52x + 14

Vocabulary

100

An algebraic expression consisting of one term

Monomial

200

Can be determined by the largest exponent in the polynomial

Degree

300

The coefficient of the term with the largest exponent

Leading Coefficient 

400

A polynomial with only two terms 

Binomial

500

A polynomial with three terms 

Trinomial