A.SSE.3A [576377]
Student
Class
Date
1.
Part A. Find the factors of the function
Part B. Find the values of x for which
Use words, numbers, and/or pictures to show your work.
2. What are the zeros of the function defined by y = x2 + 9x + 14?
A. –7, –2
B. –7, 2
C. –2, 7
D. 2, 7
3. What are the zeros of the function defined by x2 – 16?
A. –16 and 1
B. –8 and 2
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C. –4 and 4
D. –2 and 8
4.
What are the factors of the expression
A.
B.
C.
D.
5. Which of these represents one of the factors of the function
A.
B.
C.
D.
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6.
Which of these is a factor of the function
A.
B.
C.
D.
7. What is the value of the larger zero of the function defined by
x2 + 12x + 27?
A. 9
B. 3
C. –3
D. –9
8. Which expression can be used to find the zeros of the function
A.
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B.
C.
D.
9.
If one of the zeros of the function
is 3 more than the
other and a and b are positive integers, which equation must be true?
A.
B.
C.
D.
10. What are the zeros of the function defined by 2x2 − 50?
A.
B.
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C.
D.
11. What are the zeros of the function defined by x2 – 5x – 24?
A. –8, –3
B. –8, 3
C. –3, 8
D. 3, 8
12.
Part A. Determine the zeros of the function
the quadratic expression.
by factoring
Part B. Explain what the zeros represent with respect to the graph of the
quadratic function defined by this expression.
Use words, numbers, and/or pictures to show your work.
13. What are the zeros of the function defined by x2 – 2x – 15?
A. –5, –3
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B. –5, 3
C. –3, 5
D. 3, 5
14. What are the zeros of the function defined by 2x2 + 11x – 6?
A.
B.
C.
D.
15. What are the zeros of the function defined by y = x2 + 6x + 5?
A. 5, 1
B. 2, 3
C. –2, –3
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D. –5, –1
16. Which value is a zero of the function defined by 6x2 + 6x – 36?
A. 2
B. 3
C. 4
D. 9
17. Use the quadratic function given to answer the questions below.
Part A. Write the factors of the quadratic function
Part B. Where does the graph of
Show your work.
intersect the x-axis?
Part C. The graph of
is translated, resulting in the
function
Find the factors of
Part D. Another function,
is equal to
or
the factors to reveal the zeros of the graph of
the graph of
Find
Compare the zeros of
with the zeros of the graph of
Use words, numbers, and/or pictures to show your work.
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18. What are the zeros of the function defined by 2x2 + 7x + 3?
A.
B.
C.
D.
19.
If
which factors reveal the zeros of the function?
A.
B.
C.
D.
20. What is the value of the larger zero of the function defined by
f(x) = 2x2 + 7x – 4?
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A.
B.
C.
D.
21. Which is a zero of the function defined by 5(x2 – 3x + 6) –
(8x + 4)?
A.
B.
C.
D.
22. What are the zeros of the function defined by y = 6x2 + 10x – 4?
A.
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B.
C.
D.
23. What are the zeros of the function defined by y = 3x2 – 2x – 5?
A.
B.
C.
D.
24. What are the zeros of the function defined by 4x2 + 13x − 35?
A.
B.
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C.
D.
25. A quadratic function has zeros of 2 and 9. Which expression
could define the function?
A. x2 + 18x + 11
B. x2 + 11x + 18
C. x2 – 11x + 18
D. x2 – 18x + 11
26. What are the zeros of the function defined by 6x2 + 7x – 5?
A.
B.
C.
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D.
27. What is the value of the positive zero of the function defined by
x2 + x – 30?
A. 10
B. 6
C. 5
D. 3
28. Which value is a zero of the function defined by x2 + 4x – 252?
A. 9
B. 12
C. 14
D. 21
29. Which expression defines a function that has zeros at 4 and –3?
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A. x2 – x – 12
B. x2 + x – 12
C. x2 – 7x – 12
D. x2 + 4x – 3
30. What is the value of the positive zero of the function defined by
15x2 + 100x – 70 – (17x – 6x2)?
A.
B.
C.
D.
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