Factoring Quadratic Functions

Factoring A=1

100

Multiply (m-1)(m-8)

What is m² - 9m + 8?

200

Multiply (p+2)(p-7)

What is p² - 5p - 14?

300

The factors of x² - 7x - 18

What are (x-9)(x+2)?

400

The factors of x² - 16x + 63

What are (x-9)(x-7)?

500

The factors of k² - 13k + 40

What are (k-5)(k-8)?

Factoring A≠1

100

Multiply:

5(v-2)(v-4)

What is 5v² - 30v + 40?

200

Multiply:

2(p-1)(p+2)

What is 2p² + 2p - 4?

300

The factors of

4v²-4v-8

What are 4(v+1)(v-2)?

400

The factors of

2k² + 22k + 60

What are 2(k+5)(k+6)?

500

The factors of 7k² + 9k

What are k(7k+9)?

Solving

100

These are considered the solutions to a quadratic function. You can find them where the parabola touches the x-axis.

What are x-intercepts?

200

The solutions for (k+1)(k-5)=0

What are k=-1 and 5?

300

The solutions for n²+7n+10

What are n=-5 and -2?

400

The solutions for 6m²-18m-24

What are m=4 and -1?

500

The solutions for 3r²-16r-12

What are r = -2/3 and 6?

Write the Equation

100

This equation has roots that equal -4 and 3.

What is y = x² + x - 12?

200

This equation has roots that equal -8 and 5.

What is y = x² + 3x - 40?

300

This equation has roots that equal 0 and 7.

What is y = x² - 7x?

400

This equation has roots that equal -1 and 2/3.

What is y = 3x² + x - 2?

500

This equation has roots that equal 3/2 and 1/4.

What is y = 8x² -14x + 3?