Solving Quadratic Equations

Factoring

100

Find the GCF 18y² + 9y

9y

200

Find the GCF of 6x³y + 3x² – 9x

3x

300

Factor x² + 11x + 21

(x+7)(x+3)

400

Factor x² - 17x + 60

(x -12)(x - 5)

500

Factor by Grouping: rn + 5n - r - 5

(r + 5)(n - 1)

Adding & Subtracting Polynomials

100

Simplify:   (2a – 5) – (3a + 1)

-a - 6

200

Simplify:   (4b – 1) + (2b + 6)

6b + 5

300

Simplify:   (4y² + 3y + 7) + (2y² – 2y + 4).

6y² + y + 11

400

Simplify:   (9t² + 4t – 6) + (t² – 2t + 4).

10t² + 2t - 2

500

Simplify:   3(x² + 2x) – x(x – 1).

2x² + 7x

F.O.I.L. (Mailman) with Polynomials

100

Find (2n – 3)(n + 4).

2n² + 5n -12

200

Find (3w – 7)(2w + 3).

6w² - 5w - 21

300

Find (8y² – 4)(y + 5).

8y³ + 40y² - 4y - 20

400

Find (3y – 4)(2 + y – 1).

3y² - y - 2

500

Find (2x² + 4x – 1)(3x + 7).

6x³ +26x² + 25x -7

Terms & Definitions

100

What does GCF stand for

Greatest Common Factor

200

What is a Monomial, Binomial and Trinomial?

1, 2 and 3 terms

300

What is "Standard Form" of a Polynomial

Put the answer in descending order based on the exponents

400

What does Factor mean?

Go backwards, or find the things that make it up. Reverse Mailman.

500

What is grouping?

A form of factoring in which you group terms with common factors

Other

100

The zero product property says that if a times b equals zero... a or b = ?

0

200

To Factor something of the form: x² + bx + c, you multiply to what as well as add to what?

Mult. to c, add to b

300

To Factor something of the form: ax² + bx + c, you multiply to what as well as add to what?

a times c, adds to b

400

An example of a Special Product is (3x-2)². What is special about this?

There is a formula to get you the answer without any of the work, every time!

500

Solve (3x-6)(x+2) = 0

x = 2 or x = -2