Solve with Perfect Square Trinomials and Grouping Quadratics

Which of the following are methods to solve quadratics (select all that apply)?

• Difference of Squares

• Completing the Square

• Square Roots

• Grouping

Tags

CCSS.HSA-REI.B.4B

Mike solved the equation x² + 8x = 14 by completing the square. Which of the following equations is part of the correct solution.

• (x + 4)² = 14

• x² + 8x - 14 = 0

• (x + 4)² = 30

• x² + 8x + 4 = 18

Tags

CCSS.HSA-REI.B.4B

What value of "c" would create a

perfect square trinomial?

x² + 10x + _____ = 17

• c = 20

• c = 100

• c = 25

• c = 10

Tags

CCSS.HSA-REI.B.4B

Which formula do you use to find the "c-value" that makes a quadratic a perfect square trinomial?

Tags

CCSS.HSA-REI.B.4B

In the quadratic function x² - 6x + c what value of c would make q(x) a perfect square trinomial?

• 6

• 3

• 36

• 9

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

Is this a perfect square trinomial?
x² + 14x + 49

• Yes

• No

Factor: x² + 24x + 144

• (x + 12)²

• (x + 9)²

• (x + 15)²

• (x + 13)²

Tags

CCSS.HSA.APR.C.4

Factor: x² - 4x + 4

• (x + 2)²

• (x - 2)²

• (x + 4)²

• (x - 4)²

Tags

CCSS.HSA.APR.C.4

Factor: x² - 30x + 225

• (x + 15)²

• (x - 15)²

• (x + 25)²

• (x - 25)²

Tags

CCSS.HSA.APR.C.4