Algebra 2 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 degree of a polynomial?

the highest exponent in a polynomial

200

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

Constant (y-intercept)

300

How do you find the x-intercepts of a factored polynomial?

Set all factors equal to zero and solve for x

400

DOUBLE POINTS

An even degree polynomial with a positive LC has what end behavior?

Up to the left and up to the right

500

DOUBLE POINTS

An odd degree polynomial with a negative LC has what end behavior?

Up to the left and down to the right

600

DOUBLE POINTS TRIVIA

What is Mr. Stewart's first name?

Gavin

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 and identify the degree, lead coefficient, and constant term

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

15x²-21x-18

Degree:2 LC: 15 Constant:-18

600

Multiply the following polynomials and identify the degree, lead coefficient, and constant term

(3r+ 5)²

9r² + 30r + 25

Degree:2 LC: 9 Constant: 25

Sketching and Writing Polynomials

100

What is the end behavior of the polynomial

y=x(x+2)(x-4)(x-1)

Even degree with Positive LC 

Up to the left and up to the right

200

What are the x-intercepts for the given polynomial

y=-(x+9)(x+2)

x=-9 , x=-2

300

Write a possible equation for a graph that has end behavior up to the left and up to the right, and x-intercepts of x=4 single, x=8 single

y=(x-4)(x-8)

400

What are the x-intercepts for the given polynomial

y=x(x-4)(x+3)

x=0, x=4, x=-3

500

What are the x-intercepts for the given polynomial  y=-x(x-9)(x+2)(x-1)(x+10)

x=0, x=9, x=-2, x=1, x=-10

600

Write a possible equation for a graph that has end behavior up to the left and down to the right, and x-intercepts of x=1 single , x=2 single , x=0 double, x=-9 single

y=-x²(x-1)(x-2)(x+9)