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