Quadratic Functions and Factoring

Factor 2x² - 18x + 40 completely. Do not put any spaces in your answer.

Select all the correct solutions to

15x² - 8x + 1 = 0

• x=1/5

• x=-1/5

• x=1/3

• x=5/3

Tags

CCSS.HSA-REI.B.4B

Find the zeros of the quadratic function.

f(x) = 9x² + 3x

• x=1/3,0

• x=-1/3,0

• x=3,0

• x=-3,0

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

The roots of a quadratic function are 2 and -1. Write an equation of the quadratic function in standard form.

• y=(x-2)(x+1)

• y=x² - x - 1

• y=x² - x - 2

• y=x² + x - 2

Solve for x by factoring.
2x² + 17x + 21 = 0

• x= ^-21/₂, -17

• x= ²/₃, 16

• x=-7, ^-3/₂

• x=15, -³/₇

Tags

CCSS.HSA-REI.B.4B

Which equation is equivalent to

h(x) = x² + 5x - 6 ?

• h(x) = (x + 6)(x - 1)

• h(x) = (x - 2)(x - 3)

• h(x) = (x - 6)(x + 1)

• h(x) = (x + 2)(x + 3)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.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

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

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

Solve by factoring: x² - 5x + 6 = 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