Operations with Polynomials

Add/ Subtract Polynomials

100

True or False: When adding/subtracting polynomials, I can only combine like terms.

True

200

19p^3+35p^3

54p^3

300

23y^3-(-7y^3)

30y^3

400

(14n^2-13n-6)+(-15n^2-7n-2)

-n^2-20n-8

500

(p^2+q^2)-(4p^2-15pq-11q^2)

-3p^2+15pq+12q^2

Multiplying Polynomials

100

True or False: When multiplying polynomials, I can only multiply like terms

False

200

8x(-8x+8)

-64x^2+64x

300

(3m+2)(8m+5)

24m^2+31m+10

400

-4s(8s^2-9s+7)

-32s^3+36s^2-28s

500

DAILY*DOUBLE

(q+5)(4q^2-10q+7)

4q^3+10q^2-43q+35

Dividing Polynomials

100

Find the Quotient and Remainder:

(x^2-7x+12)/(x-4)

Quotient: x-3

Remainder: 0

200

Determine the Quotient and Remainder:

(x^2-19x-150)/(x+6)

Quotient: x-25

Remainder: 0

300

Determine the Quotient and Remainder:

(2x^2-x-4)/(x-1)

Quotient: 2x+1

Remainder: -3

400

DAILY*DOUBLE

Determine the Quotient and Remainder:

(6x^3+3x-4)/(x-2)

Quotient: 

6x^2+12x+27

Remainder: 50

500

Find the Quotient and Remainder:

(12x^3-4x^2+8x-3)/(x+1)

Quotient:

12x^2-16x+24

Remainder: -27

Quarter 3 Review

100

Solve for x

2x+8=24

x=8

200

Factor the trinomial

x^2+7x+10

(x+5)(x+2)

300

Find the Axis of Symmetry 

For DOUBLE POINTS find the Vertex as well

2x^2-12x-52

AOS: 

x=3

Vertex: 

(3, -70)

400

Solve for m 

|5m-8|=52

m=12, -44/5

500

Solve for k

DAILY* DOUBLE

|5-2k|+11=0

No Solution!

Vocabulary

100

Define "binomial"

A polynomial containing two terms 

200

Define "roots"

Example: Mark found the roots of the function

The x-intercepts of a function

300

DAILY* DOUBLE

What is a "Complex Number"

Must be the complete and accurate definition!

A number containing both a real and imaginary number.

Always in the form a+bi

400

Name the 3 forms of quadratics

Vertex, Standard, and Factored

500

Give a FORMAL definition of "quadratic"

A polynomial with a degree of 2