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Common Core Standard HSA-SSE.B.3a Questions

Factor a quadratic expression to reveal the zeros of the function it defines.

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Grade 9 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
x2-25
Grade 9 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the expression. a2-12a+36
  1. (a-6)(a-6)
  2. (12a+1)(-2a+6)
  3. (a+6)(a+6)
  4. (a-12)(a+6)
Grade 9 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
x2-12x-36
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Find the factors.
x2-25
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the polynomial 5x2-2x-7 completely.
  1. (5x-7)(x+1)
  2. (5x+7)(x-1)
  3. (5x+7)(x+1)
  4. (5x-7)(x-1)
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor:
x2+6x-40
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
For the quadratic function defined by the expression x2+x-2, find its zeros by factoring.
  1. x=-2,-1
  2. x=-1,2
  3. x=-2,1
  4. Cannot be factored.
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor. 10x2-3x-27
Grade 9 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
x2-5x+4
Grade 9 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor.
y2-144
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Which is the correct factorization of x2-6x-27?
  1. (x + 3)(x - 9)
  2. (x - 3)(x +9)
  3. (x - 3)(x - 9)
  4. (x + 3)(x + 9)
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the polynomial 9y2+6y-8 completely.
  1. (3y+4)(3y-2)
  2. (3y-4)(3y+2)
  3. (3y+4)(3y+2)
  4. (3y-4)(3y-2)
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
5x2+10x-40
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
If x2-16 represents a quadratic function, what would the zeros of this function be? Use factoring to solve.
  1. x=4
  2. x=-4,4
  3. x=-4
  4. x=-2,8
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor. -12x2+32x-21
Grade 9 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
x2+8x-20
Grade 9 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the following expression:

x2-x-6
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Determine the correct factorization of 12x2+8x-15.
  1. (6x + 5)(2x - 3)
  2. (6x - 5)(2x + 3)
  3. (4x + 3)(3x - 5)
  4. (4x - 3)(3x + 5)
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