Algebra III MYE Review (1) - 24-25

Polynomial Terminology

100

What is the leading term of the polynomial

-6x^3+5x^2-8

-6x^3

200

What is the leading coefficient of the polynomial

-6x^3+5x^2-8

-6

300

What is the constant term of the polynomial 

-6x^3+5x^2-8

-8

400

What is the degree of the polynomial

-6x^3+5x^2-8

4

500

Name the polynomial based on its degree

-6x^3+5x^2-8

quartic

Operations with Polynomials

100

Simplify

(5x^3+7x-2)+(x^3-2)

6x^3+7x-4

200

Simplify

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

4x^2-5x+5

300

Simplify

(2x+7)^2

4x^2-28x+49

400

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

3x^3+4x^2-13x+6

500

(5x+2)^3

(125x^3+(150x^2)+60x+8

Operations with Functions

100

Given 

f(x)=2x+3 and g(x)=7x-5

evaluate 

f(x)+g(x)

9x-2

200

Given 

f(x)=3x^2+1 and g(x)=5x^2-6

evaluate 

(g-f)(-2)

2x^2-7

300

Given 

f(x)=2x+3 and g(x)=-3x-5

evaluate 

(f*g)(x)

-6x^2-19x-15

400

Given 

f(x)=x^2+1 and g(x)=2x-6

evaluate 

(f+f)(5)

52

500

Given 

f(x)=x^2+1 and g(x)=2x-6

evaluate 

(g-f)(-2)

-15

Compositions of Functions

100

Given 

f(x)=2x+6 and g(x)=1/2x

Find 

f(g(10))

16

200

Given 

f(x)=2x+6 and g(x)=1/2x

Find 

g(f(-4))

-1

300

Given 

f(x)=4x-3 and g(x)=x^2-5

Find 

(f o g)(-2))

-7

400

Given 

f(x)=4x-3 and g(x)=x^2-5

Find 

f(g(x))

4x^2-23

500

Given 

f(x)=4x-3 and g(x)=x^2-5

Find 

g(f(x))

16x^2-24x+4