Math Polynomial Review

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Write an expression in standard form for the PERIMETER of a triangle with sides 3x + 2, 5x, and 4x - 2

12x

Subtracting Polynomials

100

Subtract the polynomials:

(5a + 4) - (5a + 3)

1

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

All about Polynomials

100

What are like terms?

Terms with the same variable and the same exponent.

200

When adding polynomials, what do the exponents do?

Remain the same.

300

When multiplying polynomials, what do the exponents do?

Exponents add.

400

A polynomial with 1 term is called:

Monomial.

500

A polynomial with 2 terms is called:

Binomial

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

3(2x + 4x² - 5)

12x² + 6x - 15

300

Multiply the Polynomials:

(x - 4)(x + 6)

x² + 2x - 24

400

Multiply the Polynomials:

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

15x²+14x-8

500

Multiply the Polynomials:

(x - 1)(−8x² − 6x − 12 )

-8x³ - 6x² - 12x + 8x² + 6x + 12

-8x³ + 2x² - 6x + 12 (Correct Answer)

Vocabulary and Rules

100

What's the highest exponent in a polynomial called?

Degree

200

What is the number that stands alone in an expression called?

Constant

300

What is the number in front of the highest degree term called?

Leading Coefficient

400

When do we add exponents?

When we multiply polynomials.

500

When do we subtract exponents?

When we divide polynomials.