Factoring and Solving Jeopardy

Greatest Common Factor

100

The result of factoring: 2x² + 14

What is 2(x² + 7)?

200

The result of factoring:
8a - 16

What is
8(a - 2)?

300

The GCF of:
25z² - 125xz

What is 25z?

400

The result of factoring:
9x²y - 45xy +9yz

What is
9y(x² - 5x+ z)?

500

The result of factoring:
-24x⁴y⁷+ 12x³y⁵-48x²y³   

What is
-12x²y³(2x²y⁴ - xy² + 4) 

Trinomial

100

To factor the trinomial x²+8x+16 you find two numbers that add to 8 but multiply to this...

What is 16?

200

The result of factoring:
x² + 8x + 12 

What is
(x + 2)(x + 6)?

300

The result of factoring:
x² - 6x + 8

What is
(x - 4)(x - 2)?

400

The result of factoring:
x² - 10x - 24 

What is
(x - 12)(x + 2)?

500

The result of factoring:
2x² + 8x + 8 

What is
2(x + 2)²?

A > 1

100

The result of factoring:
3x² + 20x + 12

What is
(3x+2)(x+6)?

200

The result of factoring:
3x² - 19x - 14 

What is
(3x + 2)(x - 7)?

300

The result of factoring:
4x² + 24x + 32

What is
4(x + 2)(x + 4)?

400

The results of factoring:
8x² + 18x + 9

What is
(4x + 3)(2x + 3)?

500

The result of factoring:
16x² - 8x + 1

What is
(4x - 1)²?

Difference of Squares

100

This is the first step of factoring ALWAYS.

What is look for a GCF? 

200

The result of factoring:
x² - 25

What is
(x - 5)(x + 5)?

300

The result of factoring:
2x² - 200

What is
2(x - 10)(x + 10)?

400

The result of factoring:
81x⁸ - 1

What is (9x⁴+1)(3x²-1)(3x²+1)

500

The result of factoring:
64x² - 36

What is
4(4x + 3)(4x - 3)?

Vocabulary

100

This is the highest exponent of any term in a polynomial.

What is the degree?

200

This is the number in front of the variable that has the highest power in a polynomial.

What is the lead coefficient?

300

The full name of this polynomial
9x² + 6x + 1

What is a quadratic trinomial?

400

This a_nxⁿ + a_n-1x^n-1 + ... +a₂x² + a₁x + a₀ represents that form.

What is standard form of a polynomial?

500

The full name of this polynomial x⁷-5x.

What is a 7th degree binomial?

Solving Quadratics with Factoring

100

The result of solving x²+7x+10 = 0

What is {-5, -2}?

200

SolvE

3x^2-15x = -18

What is {2 , 3}

300

The result of solving 2x²-20 = -3x

What is {-4 , 5/2}?

400

The result of solving 6x²+15 = 19x

What is {3/2 , 5/3}?

500

The result of solving 14x = -8x²

What is {-7/4 , 0}

Factor by Grouping

100

The factored form of 

8r^3-64r^2+r-8

What is 

(8r^2 + 1)(r - 8)

200

The factored form of 

12p^3-21p^2+28p-49

What is 

(3p^2 + 7)(4p - 7)

300

The factored form of

63n^3+54n^2-105n-90

What is 

3(3n^2-5)(7n+6)

400

The COMPLETE factored form of 

2x^3+3x^2-18x-27

What is 

(x+3)(x-3)(2x+3)

500

The result of solving

x^3+x^2-4x-4 = 0

What is 

{-2, -1, 2}