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This printable supports Common Core Mathematics Standards HSA-SSE.B.3, HSA-SSE.B.3a

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Finding Zeros by Factoring (Grade 10)

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Finding Zeros by Factoring

1. 
Factor [math] x^2-8x+15[/math] to find the zeros of the function this expression defines.
  1. [math]x = 3,5[/math]
  2. [math]x = -3,5[/math]
  3. [math]x = -3,-5[/math]
  4. [math]x = 5,-3[/math]
2. 
What are the zeros of the function defined by the expression [math]x^2 + 4x - 12?[/math]
  1. [math]x=-4,3[/math]
  2. [math]x=-3,4[/math]
  3. [math]x=-2,6[/math]
  4. [math]x=-6,2[/math]
3. 
For the quadratic function defined by the expression [math] x^2+x-2 [/math], find its zeros by factoring.
  1. [math]x = -2,-1[/math]
  2. [math]x=-1,2[/math]
  3. [math]x=-2,1[/math]
  4. Cannot be factored.
4. 
If [math]x^2-16[/math] represents a quadratic function, what would the zeros of this function be? Use factoring to solve.
  1. [math]x=4[/math]
  2. [math]x=-4,4[/math]
  3. [math]x=-4[/math]
  4. [math]x=-2,8[/math]
5. 
Factor [math]2x^2 - x - 3[/math] to find the zeros of the function defined by this expression.
  1. [math]x=-1,3[/math]
  2. [math]x=-3/2,1[/math]
  3. [math]x=-3,1[/math]
  4. [math]x=-1, 3/2[/math]
6. 
Find the zeros of the function defined by the expression [math]3x^2 - 14x + 8[/math].
  1. [math]x = 2/3, 4[/math]
  2. [math]x=2,4[/math]
  3. [math]x = 1,8[/math]
  4. [math]x = 2, 4/3[/math]
7. 
What are the zeros of the quadratic function defined by the expression [math]9x^2 - 12x + 4 ?[/math]
  1. [math]-1/3, 4/3[/math]
  2. [math]-4/3, 1/3[/math]
  3. [math]x=2/3[/math]
  4. [math]x= -2/3, 2/3[/math]
8. 
Factor [math]6x^2+8x-8[/math] to find the zeros of the function defined by this expression.
  1. [math]x=3, -4[/math]
  2. [math]x=-1, 4/3[/math]
  3. [math]x = -1/6, 8[/math]
  4. [math]x=-2, 2/3[/math]
9. 
By factoring the expression [math]12x^2 + 6x - 6[/math], find the zeros of the quadratic function this expression defines.
  1. [math]x=-1, 1/2[/math]
  2. [math]x = -3/4, 2/3[/math]
  3. [math]x = -3/2, 1/3[/math]
  4. [math]x = -2, 1/4[/math]
10. 
The expression [math]x^2 + bx - 4[/math] represents a quadratic function with two distinct zeros. If this expression is factorable (with integer values), what are the possible values of [math]b ?[/math]
  1. [math]-3, 0, 3[/math]
  2. [math]-3,3[/math]
  3. [math]3[/math]
  4. [math]0[/math]

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