Factoring Quadratics Worksheet

Fill in the blank: The process of changing the sum to a product is called _____.

• Area Model

• Standard Form

• Factoring

• Quadratics

Fill in the blank: Area as a product is the _____ of the quadratic equation.

• Area Model

• Standard Form

• Factored Form

• Sum

Tags

CCSS.HSA-REI.B.4B

If the quadratic has TWO TERMS, what step is next?

• Factor using Area Model and X, if possible.

• Ask: Is it a Difference of Two Squares?

• The work is done.

• Write the area as a sum.

Tags

CCSS.HSA.APR.C.4

If the quadratic has THREE TERMS, what step is next?

• Factor using Area Model and X, if possible.

• Ask: Is it a Difference of Two Squares?

• The work is done.

• Write the area as a sum.

Solving the equation f(x) = x² - 8x + 15 =0, what are the two factors we can create to solve this equation? ​ (a)   .

• (x - 3) and (x - 5)

• (x + 3) and (x + 5)

• (x - 15)

Tags

CCSS.HSA-REI.B.4B

• -6, -2
• -2, 6
• 2, 6
• -6, 2

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: x² - 5x + 6 = 0
Put the solutions in order from least to greatest.

• -6

• 3

• 6

• -3

• 9

• -2

• -9

• 2

• 18

• -1

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: x² + 3x - 18 = 0
Put the solutions in order from least to greatest.

{​ (a)   ,​ (b)   }

• -6

• 3

• 6

• -3

• 9

• -2

• -9

• 2

• 18

• -1

Tags

CCSS.HSA-REI.B.4B

A new high school gym is painting the gym floor to represents the boundaries of a volleyball court. The court is shaped like a rectangle and has an area of 162 meters. The length of the court is 9 meters greater than the width. The situation can be represented by the equation w2 + 9w- 162 = 0. What is the width of the volleyball court in meters?

Enter your answer in the space provided.

Mathematical Equivalence

ON

Tags

A.8A

Solve by factoring: x² - 5x + 6 = 0
Put the solutions in order from least to greatest.

• -6

• 3

• 6

• -3

• 9

• -2

• -9

• 2

• 18

• -1

Tags

CCSS.HSA-REI.B.4B