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 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

600

A polynomial with 3 terms is called:

Trinomial

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

End Behavior

100

Describe the end behavior of the graph of...Using math notation

y=-0.3x^3+1.7x^2-4x+6

As

 x \rightarrow - oo 

 y \rightarrow oo

As 

x \rightarrow oo

 y \rightarrow -oo

200

Determine the end behavior (in Words using Up, Down, Right, and Left), Leading Coefficient (LC)= number (positive or negative), and Highest Degree.

y= 2x^2+4x-6

End Behavior:  As you go to the left, the graph goes up, and as you go to the right, the graph goes up. 

Leading Coefficient (LC): 2, positive 

Degree: 2 Even 

300

Determine the end behavior ( in Words Using Rise, falls, Right, and Left), Leading Coefficient (LC)= number (positive or negative), and Highest Degree( even or odd) .

y= -2x^2-4x+6

End behavior: As you go to the left, the graph goes down, and as you go to the right, the graph goes down.

Leading Coefficient (LC)=-2 Negative 

Highest Degree=2Even 

400

Determine the end behavior ( in Words Using Rise, falls, Right, and Left), Leading Coefficient (LC)= number (positive or negative), and Highest Degree.

y= x^3-2x^2-5x+6

End behavior: As you go to the left, the graph goes down, and as you go to the right, the graph goes up. 

LC=1 positive 

Highest degree is 3 odd

500

Determine the end behavior ( in Words Using Rise, falls, Right, and Left), Leading Coefficient (LC)= number (positive or negative), and Highest Degree.

y= -x^3+2x^2+5-6 

End behavior: As you go to the left, the graph goes up, and as you go to the right, the graph goes down.

LC=-1 negative 

Highest degree=3 

600

Find the end behavior. The answer must be using math notation

y=2x^2+3x-5 

As 

x \rightarrow - oo

then 

y \rightarrow oo

AS

x->oo 

y-> oo

Polynomial Division

100

x^2 +5x+1 div (x+3)

x+2 -5/ (x+3)

200

(2x^3 -11x^2+9x-20) \div (x-5)

2x^2 -x+4

300

2x^2+3x-4 \div (x-2)

2x+7+ 10/(x-2)

400

x^3 -125 div (x-5)

x^2 +5x+25

500

5x^4+2x^2-15x+10 div x+2

5x^3-10x^2+22x-59+128/(x-2)

600

n^4+5n^3-6n+3 div n+3

n^3+2n^2-6n +12 -33/(n+3)