Solving Quadratic Equations by Factoring

Find the zeros.

• 0 and 4
• 0 and -4
• 0
• -4

Tags

CCSS.HSF-IF.C.7A

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.

• True
• False, because the solution and root are the same but the x-intercept and zero are different
• False, because the x-intercept and root are the same but the zero and solution are different
• False, they are all different

Tags

CCSS.HSF-IF.C.7A

Convert x² - 9x + 20 to factored form and solve.

• (x-10)(x+2); x = -2, 10
• (x+4)(x+5); x = -5, -4
• (x-4)(x-5); x = 4, 5
• Not factorable

Tags

CCSS.HSA-REI.B.4B

Factor 6x²-27x

• (6x+1)(x+3)
• 3x(2x-9)
• 6x(x-9)
• (3x-9)(2x+3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is another name for the x-intercepts of a quadratic?

• y-intercept
• Zeros
• x-axis
• They don't have another name

Tags

CCSS.HSF-IF.C.7C

ax²+bx+c=0  is the standard form of a quadratic equation.

• True
• False

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

The solutions of the quadratic equation 
x²+2x-15=0 are

• x = 3 or x = 5
• x = 5 or x = -3
• x = -5 or x = 3
• x = -3 or x = -5

Tags

CCSS.HSA-REI.B.4B

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.4B

Factor x² + 6x + 9 and solve for x. 

• (x+3)(x+3); x = -3
• (x+4)(x+5); x=-4, -5
• (x-3)(x-3); x=3
• Not factorable

Tags

CCSS.HSA-REI.B.4B

What are the solutions to this equation? (x-3)(x+2)=0

• x=3,-2
• x=-3,2
• x=2,3
• x=3,2

Tags

CCSS.HSA-REI.B.4B