Polynomials and Higher Degree Functions

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 exponents we ____.

I.E. x^2*x^3

When multiplying exponents we add them together.

I.E. x^2*x^3=x^5

400

The number in front of the variable in a term.

What is The Coefficient?

500

A number we know. No variables, powers, or other modifiers.

What is a Constant?

600

When dividing exponents we _____?

E.G. x^3/x^2=?

When dividing exponents we subtract.

E.G. x^3/x^2=x

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

Higher Degree Functions

100

The maximum number of x intercepts is represented by the ____?

What is the degree of the polynomial?

200

If the degree is odd the end behavior of the function is ____, if it is even it is _____?

Opposite/Different, The Same

300

If a polynomial is 2nd degree, the shape of it's graph will be _____.

A parabola, quadratic.

400

If a little stinky bug went in ur shoe but it like knew your name, wouldn't that be crazy?

Yes

500

A cubic with y-int (0,12) is represented below.

(x-r)(x-2)^2

What is the value or r?

What is 3?

600

What is the factored form of this expression? 2x^3+2x^2-12x

2x(x^2+x-6)

2x(x+3)(x-2)