Unit 4 Remediation #2 - Factoring Quadratics

Unit 4 Remediation #2 - Factoring Quadratics

Valid to replace any Unit 4 Pt. 2 assignments in Backpack.

Multiple Select

What can the roots to a quadratic equation be called?

• zeros

• solutions

• x-intercepts

• none of the choices

Multiple Choice

What are the green dots called?

• axis of symmetry

• vertex

• parabola

• roots or x-intercepts

Multiple Choice

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Multiple Select

Which of the equations below are quadratic?

Select all that apply.

• $$0=3x^2+4x+3$$  

• $$7=\frac{1}{2}x+5$$  

• $$0=-10x^{2\ }$$  

• $$5=x^2+x^3$$  

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Multiple Choice

To factor $$x^2-8x-20$$   I am looking for a pair of numbers that _________

• have a product of -20 and a sum of -8

• have a product of -8 and a sum of -20

• have a product of 20 and a sum of 8

• have a product of 8 and a sum of 20

Multiple Choice

Factor: $$x^2+4x+3$$  

When looking for the two integers:

which integer pair combination needs to be met?

• Product is 3

  Sum is 4 

• Product is 4

  Sum is 3

Multiple Choice

What equations would I use to solve x² + 14x - 32 =0

• x + 16 = 0

  and x - 2 = 0

• x + 7 = 0

  and

  x - 7 = 0

• x - 16 = 0

  and

  x + 2 = 0

• x² + 14 = 0

  and

  x - 32 = 0

Multiple Choice

Factor the following quadratic expression:

x² + 6x + 9

• (x+3)(x-3)

• (x-3)(x-3)

• (x+3)(x+3)

• (x-3)(x-3)

Multiple Choice

Factor the following quadratic expression:

x² + 2x - 24

• (x-6)(x+4)

• (x+6)(x-4)

• (x-6)(x-4)

• (x+6)(x+4)

Multiple Choice

Which of the following is a factor of x²-10x+24?

• x-4

• x+4

• x+6

• x-2

Multiple Choice

What equations would I use to solve x² + 9x - 36 =0

• x + 12 = 0

  and x - 3 = 0

• x + 9 = 0

  and

  x - 4 = 0

• x - 12 = 0

  and

  x + 3 = 0

• x² + 9 = 0

  and

  x - 36 = 0

Multiple Choice

Convert x² - 9x + 20 = 0 to factored form and solve.

• (x-10)(x+2)=0

  x = -2, 10

• (x+4)(x+5)=0

  x = -5, -4

• (x-4)(x-5)=0

  x = 4, 5

• Not factorable