Quadratics, Factoring of

Find two numbers that multiply to 207 and add up to 32

• 8 and 4
• 100 and 107
• 23 and 9
• 3 and 69

Tags

CCSS.HSA-REI.B.4B

Factor x² + 5x + 4

• (x + 1)(x + 4)
• (x + 5)(x + 1)
• (x + 2)(x + 3)
• (x + 5)(x - 1)

Solve: x² - 6x + 8 = 0

• 2, 4
• -6, 8
• 6, 8
• no solution

Tags

CCSS.HSA-REI.B.4B

Factor: x² - 49

• -7 and 7
• (x - 7)(x + 7)
• (x - 7)²
• (x + 7) ²

Tags

CCSS.HSA.APR.C.4

Solve: x² + 20x + 100 = 0

• -10
• 10 and -10
• 20
• 100

Tags

CCSS.HSA-REI.B.4B

Factor out the gcf:
6x³ + 15x²

• 3x²(2x + 5)
• 3(2x³ + 5x²)
• 3x(2x² + 5x)
• 6x³(5)

Factor out the gcf:
4a + 12b

• 4(a + 3b)
• 4(a + 12b)
• 4ab(4)
• 4ab(1 + 3)

Tags

CCSS.7.EE.A.1

Factor completely: 9x² + 33x + 30

• 3(x + 2)(3x + 5)
• (3x + 6)(3x + 5)
• (x + 2)(9x + 15)
• (x + 2)(3x + 5)

Solve: 4x² + 28x = -48

• 3 and 4
• 6 and 2
• -3 and -4
• 4

Tags

CCSS.HSA-REI.B.4B

What are the x-intercepts of the quadratic:
x² + 9x + 14

• 7 and 2
• -2 and -7
• 9 and 14
• Cannot be determined.

Tags

CCSS.HSF-IF.C.7A