Operations with Polynomials

Polynomial Terminology

100

If I want to know the difference, what operation will I use?

Example: What is the difference between 5x-4 and 3x +2

Subtraction

200

If I want to know the sum, what operation will I use?

Example: What is the sum of 5x-4 and 3x-2

Addition

300

If I want to know the product, what operation will I use?

Example: What is the product of 5x-4 and 3x-2

Multiplication

400

What operations do we use with polynomials?

Adding, Subtracting, and Multiplying

500

The word "Poly" means...

What is "Many"

600

Terms with the same variables to the same exponents.

Like Terms.

Adding Polynomials

100

What is the sum of the following polynomial:

(5x^2+3x -6) + (3x^2 -x + 5)

8x^2 +2x -1

200

What is the sum of the following polynomial:

(4y^2 + 8y -12) + ( 3y^3 - 13y +5)

3y^3 +4y^2 -5y-7

300

What is the sum of the following polynomial:

(6a^3+12a^2-15a)+(4a^2 - 12a +8)

6a^3 +16a^2 -27a +8

400

What is the sum of the following polynomial:

(3x^2 -5x +7) + (x^2 + 2x -1)

4x^2 -3x +6

500

Writing polynomials in decreasing order of degree with no like terms visible is called _________________.

Standard form

600

What is needed before you can add or combine two monomials?

both must be like terms (same literal coefficients and exponents)

Subtracting Polynomials

100

What is the difference between the following polynomials:

(5x^2 +3x-6)-(3x^2 -x +5)

2x^2 +4x-11

200

What is the difference between the following polynomials:

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

8x^2 -5x +6

300

What is the difference between the following polynomials:

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

-2x +1 

400

What is the difference between the following polynomials: 

(3x^2 +8x-4)-(2x^2+5x-9)

x^2 +3x +5

500

y(y+4) - y(y-3) - 9y

-2y

600

4b(5b-3)-2(b² -7b-4)

18b²+2b+8

Multiplying Polynomials

100

What is an equivalent expression for

4(7x - 4)

28x-16

200

What expression is equivalent to 

(2x+1)(-3x+5)

-6x^2+7x+5

300

9p³q⁴(3p³-5q)

27p⁶q⁴-45p³q⁵

400

The product of (x-2)(x+4) in standard form.

What is x²+2x-8

500

The product of (x-4)²

What is x²-8x+16

600

The name of this type of problem is?

(2x²-3y)(2x²+3y)

What is "Difference of Squares).

Favorites

100

The distributive property and FOIL method help you do this with polynomials.

Multiply

200

When I add polynomials what happens to my exponents?

They stay the same.

300

x⁰ = ?

1

400

What is the best type of digital activity that we use?

Edia

500

Why is it important to do your homework?

To prepare for the test

600

What day is your Exponents and Polynomials Test on?

Thursday, January 23