Solving and Graphing Quadratics in Factored and Standard Form

Solve by factoring.

x² + 5x + 6 = 0

• {-3, 2}

• {-6, 1}

• {-2, 3}

• {-3, -2}

• {-6, -1}

Tags

CCSS.HSA-REI.B.4B

• A
• B
• C
• D

Tags

CCSS.HSA-REI.B.4B

To solve a quadratic by graphing is to find where the parabola crosses the x-axis. We call these the ___. Select all that apply.

• zeroes

• x-intercepts

• solutions

• roots

• y-intercepts

Which quadratic functions have two solutions? Select all that apply.

Which quadratic functions have one solution? Select all that apply.

Find the zeros by factoring. h(x) = x² -12x + 36

• (-6, 0) and (6, 0)

• (6, 0) only

• (-6, 0) only

• no solutions

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Find the zeros by factoring.

g(x) = 2x² + 9x + 4

• (2,0) and (-1, 0)

• (-4,0) and (-1/2, 0)

• (4,0) and (-1/2, 0)

• (4,0) and (1/2, 0)

• (-2,0) and (-1, 0)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is the equation of this quadratic in factored form?

• f(x) = - (x+1)(x-3)

• f(x) = (x+1)(x-3)

• f(x) = - (x-1)(x-3)

• f(x) = (x+1)(x+3)

• f(x) = (x-1)(x-3)

Tags

CCSS.HSF-IF.C.7A

How many zeros does this quadratic function have?

• two

• one

• none

• the number of zeros cannot be determined

Tags

CCSS.HSF-IF.C.7A

• (7, 0)

• (-7, 0)

• (-49, 0)

• (49, 0)

• no solutions

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A