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

Add the polynomials: 

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

600

Add the polynomials:

(-7x⁵ + 14 -2x) + (10x⁴ + 7x + 5x⁵)

-2x⁵ + 10x⁴ +5x + 14

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

600

Subtract the following polynomials

(3 - 6x⁵ - 8x⁴) - (-6x⁴ - 3x - 8x⁵)

2x⁵ - 2x⁴ + 3x + 3

All about Polynomials

100

What is the GCF

12x+2z

GCF is 2

200

What is the GCF of 9x³-3x²+6x

Write in factored form

GCF = 3x

Factored form = 3x(3x²-x+2)

300

What is the GCF of 8a - 16

Write the polynomial in factored form

GCF = 8

Factored form = 8(a-2)

400

What is the GCF of 3d²-27d

Write the polynomial in factored form

GCF = 3d

Factored form = 3d(d-9)

500

What is the GCF of 12x⁴+16x³

Write the polynomial in factored form

GCF = 4x³

Factored polynomial = 4x³(3x+4)

600

What is the GCF of 18x²y-45xy²+9zy³

Write in factored form

GCF = 9y

Factored form = 9y(2x²-5xy+zy²)

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 - 1)(−8x² − 6x − 12 )

-8x³ - 6x² - 12x + 8x² + 6x + 12

-8x³ + 2x² - 6x + 12 (Correct Answer)

400

Multiply the Polynomials:

(x-2)(x+6)

x²+4x-12

500

Multiply the Polynomials:

(3x-6)(5x+3)

15x²-21x-18

600

Multiply the following polynomials

(3r+ 5)²

9r² + 30r + 25

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.

600

What does GCF is made up of 2 parts. When you check for the GCF, you check for this first and then you need to check for this?

The integer (number) and the variables they have in common.