Jeopardy

Factoring

100

x² + 5x + 4

(x+4)(x+1)

200

n² + 7n + 12

(n+4)(n+3)

300

k² - 13k + 40

(k-5)(k-8)

400

2k² + 22k +60

2(k+5)(k+6)

500

5n² + 10n +20

5(n² + 2n + 4)

Quadratic Equation

100

Why do we use the quadratic formula?

To find the roots/zeros of a parabola/graph.

200

What is another way to find the roots of a quadratic equation?

Factoring

300

DOUBLE JEOPARDY 

What is the quadratic formula?

x= -b +/- sq.rt(b² - 4ac)/2a

400

Use the quadratic formula to find the roots of the following equation: x²+3x-10=0

(2, 0) and (-5, 0) 

500

Use the quadratic formula to find the roots of the following equation: -x² +9x + 10 =0

(-1, 0) and (10, 0)

Adding Polynomials

100

(x² + 2x - 1) + (x -3)

x² + 3x - 4

200

(x² - x) + (8x - 2x²)

-x² + 7x

300

(8n² - 2n³) + (6n³ - 8n²)

4n³

400

(14 + 12a³) + (17a⁴ + 15 - 5a³)

17a⁴ + 7a³ + 29

500

(17v²- 8) + (17v² + 10 + v³)

v³ + 34v² + 2

FOIL

100

(x² + 2)(x+3)

x³ + 3x² + 2x + 6

200

(x+4)(x-5)

x² - x - 20

300

(9x + 7)(x-4)

9x² - 29x - 28

400

(x² + 2x³)(x +8)

2x⁴ + 17x³ + 8x²

500

(x⁴+2x)(7-x²)

-x⁶ + 7x⁴ - 2x³ + 14x

Subtracting Polynomials

100

What is the first step of subtracting polynomials?

Distribute the negative sign.

200

(5 + 5n³) - (1 - 3n³)

8n³+4

300

(2a² + 4a³) - (3a³ + 8)

a³+ 2a² - 8

400

(5x²+4) - (5 + 5x³)

-5x³ + 5x² -1

500

(10p⁴ + 11) - (11p⁴ + 13 + 16p²)

-p⁴ - 16p² -2