Polynomials

Key Concepts

100

FOIL stands for first, outside, ______, ______

inside last

200

What is a binomial?

An expression consisting of two terms

300

Exponent rules are used when working to simplify a monomial. What is a monomial?

ONE term expression   (no adding or subtracting)

400

If the expression has more than one term, you can combine terms by adding and subtracting ___________ of like ones.

Coefficients

500

What acronym is used to multiply two binomials?

FOIL

Like Terms

100

Are these like terms:

4a² b² , -9a²b²

yes

200

When combining like terms, what do you do with the coefficients?

They can be combined by addition or subtraction.

300

How do you know how many terms are in an expression?

 +  and - signs

400

What is the mistake?

x² + 2x - 4x² +3x = -3x² + 5x²

Do not add the exponents on the last term:

correct answer: -3x² +5x

500

Expressions that have the same variables to the same degree are called _____.

Like terms

Adding

100

Add the like terms. (2x² + 4) + (x² +3)

3x² + 7

200

Add (2x² + x - 4) + ( x² +. 3x + 5)

3x² + 4x + 1

300

Add (2x² - 4) + (x² + 3x -3)

3x² + 3x - 7

400

(5x² - 6x + 2) + (x² + 3x - 3)

6x² - 3x - 1

500

(-2x² - 7) + (-4x² + 3x + 2)

-6x² + 3x - 5

Subtract

100

Solve the equation

(3x² + 3) - (2x² - 1)

What is x² + 4

200

Solve the equation:

(x⁴ + 7x - 6) - (4x⁴ + 3x - 12)

-3x⁴ + 4x + 6

300

(2x² - 8) - (x² + 4x - 3)

x² - 4x - 5

400

(2x² + 0x -4) - (x² + 3x - 3)

X² - 3x - 1

500

(3x² - 1) - (7x² + 7x)

-4x² - 7x - 1

Multiply

100

(x + 2) (x - 4)

x² -2x -8

200

(5x - 3) (x + 7)

5x² + 32x - 21

300

(x + 7)²

x² + 14x + 49

400

(6x - 10) (6x + 10)

36x² - 100

500

(x - 9) (x² + 5x - 7)

x³ -4x² -52x + 63