Polynomials and Translations

Vocabulary

100

How many terms in the polynomial 4x² + 2x?

2

200

What are the coefficients of the polynomial -3x²+2x +1  

-3 and 2

300

What is the constant of the polynomial -3x²+2x - 11  

-11

400

What are the main factors of the terms 4x²

4 and x²

500

What is a solution to an equation? 

the value of the variable that makes the statement true

Addition/Subtraction

100

What is the first step when adding polynomials?

Drop Brackets or find the like terms

200

When adding and subtracting polynomials what do you combine?

Like terms

300

What does not change when adding or subtracting like terms?

The variable part.

400

When you rearrange the terms in a polynomial, what are you trying to do?

Gather like terms.

500

When subtracting polynomials, how does the subtraction sign in front of a bracket affect the terms when you drop the brackets?

It changes each term to the opposite operation (sign)

Distribution

100

What kind of math do you use when you distribute?

Multiplication

200

4(2x+3)

8x+12

300

5x(3x-2 )

15x² - 10x 

400

-3(x-2)

-3x+6

500

-7x(-2x-5)

14x² +35x

Translate

100

Translate the sum of 2 and the square of a number

2 + x²

200

Translate 2 more than triple the sum x and 5

3(x+5)+2

300

Translate 4 less than the product of 3 and x⁶

3x⁶ -4

400

Translate the total of twice x⁵ and 5

2x⁵ + 5

500

the sum of negative two times the square of x and the product of x and 3

-2x²  + 3x

MATH FACTS

100

What are the rules for positive and negative numbers with multiplication?

If the signs are the same its positive. If they are different the answer is negative.

200

-42+44=?

2

300

Simplify 6x + 4x - 3 +7

10x + 4

400

simplify 4x-3x+6x-8x

-x

500

simplify 3x- (- 4x)

7x