Quadratic Equations - Difference of Two Squares

What are the two factors of the expression x² - 25?

• (x - 7)(x + 3)

• (x + 6)(x - 4)

• (x + 10)(x - 2)

• (x + 5)(x - 5)

Tags

CCSS.HSA.APR.C.4

Solve the equation x² - 16 = 0 by factoring the difference of two squares.

• (x + 4)(x - 4) = 0

• (x + 3)(x - 3) = 0

• (x + 8)(x - 8) = 0

• (x + 2)(x - 2) = 0

Tags

CCSS.HSA-REI.B.4B

Find the solution to the equation 9x² - 25 = 0 using factoring.

• (9x - 5)(x - 5)

• (3x + 5)(3x + 5)

• (3x - 5)(3x + 5)

• (3x + 5)(3x - 5)

Tags

CCSS.HSA-REI.B.4B

Factorize the expression 16x² - 81.

• (2x - 9)(8x + 9)

• (4x - 9)(4x - 9)

• (4x - 9)(4x + 9)

• (4x - 7)(4x + 11)

Tags

CCSS.HSA.APR.C.4

What are the two factors of the expression 64x² - 1?

• (6x + 1), (10x - 1)

• (8x + 1), (8x - 1)

• (8x + 2), (8x - 2)

• (4x + 2), (16x - 4)

Tags

CCSS.HSA.APR.C.4

Find the solution to the equation 36x² - 49 = 0 using factoring.

• x = -5/4 or x = 5/4

• x = -7/6 or x = 7/6

• x = -6/7 or x = 6/7

• x = -8/3 or x = 8/3

Tags

CCSS.HSA-REI.B.4B

Solve the equation 16x² - 81 = 0 by factoring the difference of two squares.

• (4x - 9)(4x + 9) = 0

• (4x - 7)(4x + 11) = 0

• (4x - 9)(4x - 9) = 0

• (2x - 9)(8x + 9) = 0

Tags

CCSS.HSA-REI.B.4B

Solve the equation 4x² - 64 = 0 by factoring the difference of two squares.

• x = ±4

• x = ±16

• x = ±8

• x = ±2

Tags

CCSS.HSA-REI.B.4B