Factoring and Solving Quadratics

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:

5x³ - 7x²

• x²(5x - 7)

• x(5x² - 7x)

• x³(5 - 7x)

• Prime

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor: 25x² - 9

• (5x + 3)(5x - 3)

• (x + 5)(x - 3)

• (x - 3)(x + 5)

• (5x + 3)(3x + 5)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Solve by factoring: x² = 7x + 18

• -7 and -18

• 9 and 2

• 9 and -2

• 2 and 7

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

What are the solutions to the quadratic x² + 11x + 24 = 0?

• x = 3 and 8

• (x - 8)(x - 3)

• x = -3 and -8

• (x + 8)(x + 3)

Tags

CCSS.HSA.REI.B.4

The solutions of the quadratic equation 
x²+12x+35=0 are

• x = -5 or x = -7
• x = 5 or x = 7
• x = -35 or x = -1
• x = -9 or x = -4

Tags

CCSS.HSA.REI.B.4

• -4, 2
• -2, 4
• -16
• -4

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

What should you do first if solving this equation using the FACTORING method?

x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4