Polynomial Terminology
Adding
Polynomials
Subtracting Polynomials
Multiplying
Polynomials
Polynomials
in Context
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

100

What is the sum of the following polynomial:


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


8x^2 +2x -1

100

What is the difference between the following polynomials:

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

2x^2 +4x-11

100

What is an equivalent expression for

4(7x - 4)

28x-16

100

A triangle has the following 3 sides, what is the perimeter of the triangle?

x^2+4x + 2, x^2 +5x -4, and 5x^2 + 3x + 4

7x^2+12x+2

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

200

What is the sum of the following polynomial:

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

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

200

What is the difference between the following polynomials:

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

8x^2 -5x +6

200

What expression is equivalent to 

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

-6x^2+7x+5

200

What is the perimeter of my garden?

10x+6

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

300

What is the sum of the following polynomial:

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

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

300

What is the difference between the following polynomials:

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

-2x +1 

300

Which expression is equivalent to 

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

x^3+5x^2+10x+12

300

What is the area of my garden?

6x^2+14x-40

400

What operations do we use with polynomials?

Adding, Subtracting, and Multiplying

400

What is the sum of the following polynomial:

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

4x^2 -3x +6

400

What is the difference between the following polynomials: 

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

x^2 +3x +5

400

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

What is x2+2x-8

400

You made a box and the perimeter was 3x, then you made another box and the perimeter was 2x - 1. What is the difference between the perimeter of your first and second box?

x+1

500

Standard Form

Polynomials written in decreasing order of degree.

500

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

Standard form

500

What you do when you are working vertically to subtract polynomials.

Line up like terms.

500

The product of (x-4)2

What is x2-8x+16

500

The result in standard form when you simplify (x3+3x2+5) - (-2x2-x+10)

x3 + 5x2+x-5

600

Terms with the same variables to the same exponents.

Like Terms.

600

When adding two monomials you must have this.

Like terms (same variables to the same exponent

600

The definition of subtraction in Algebra.

Add the opposite or difference

600

The product of (x2+4x+3)(x-1)

What is x3+3x2-x-3

600

The name of the polynomial in terms of degree and number of terms:  3x3 + 4

Cubic Binomial