Exam
Name___________________________________
SHORT ANSWER. Write the word or phrase that best
completes each statement or answers the question.
16) f(x) = x2 - 8x - 20
Factor the binomial completely.
1) z 2 - 36
17) G(x) = x2 + 4x
18) f(x) = 2x2 - 5x - 7
2) 4 - 9x2
19) g(x) = 81x2 - 1
3) x4 - 1
20) F(x) = 3x2 + 11x - 4
Factor the trinomial completely. If the polynomial cannot
be factored, write ʺprime.ʺ
4) x2 - x - 12
21) h(x) = 7x2 - 21x
22) f(x) = x2 - 16
5) x2 - 2x - 63
23) f(x) = x2 - 14x + 45
Factor completely.
6) 5x2 + x - 18
24) F(x) = x2 + 14x + 13
7) 8z 2 + 6z - 9
Solve the equation by factoring.
8) x2 - x = 20
9) x2 + 2x - 120 = 0
10) 24x2 + 52x + 24 = 0
11) 6x2 - 29x - 5 = 0
Use factoring to find the zeros of the quadratic function.
List the x-intercepts of the graph of the function.
12) f(x) = x2 + 5x - 50
13) g(x) = x2 + 2x - 48
14) F(x) = x2 - x - 6
15) h(x) = x2 + 6x - 16
1
Answer Key
Testname: UNTITLED1
1) (z + 6)(z - 6)
2) (2 + 3x)(2 - 3x)
3) (x2 + 1)(x + 1)(x - 1)
4)
5)
6)
7)
8)
9)
(x + 3)(x - 4)
(x - 9)(x + 7)
(5x - 9)(x + 2)
(2z + 3)(4z - 3)
x = -4 or x = 5
x = -12 or x = 10
3
2
10) x = - or x = - 2
3
1
11) x = - or x = 5
6
12) x = -10, x = 5
13) x = - 8, x = 6
14) x = -2, x = 3
15) x = -8, x = 2
16) x = 10, x = -2
17) x = 0, x = -4
7
18) x = , x = -1
2
1
1
19) x = , x = - 9
9
1
20) x = , x = - 4
3
21) x = 0, x = 3
22) x = -4, x = 4
23) x = 9, x = 5
24) x = -1, x = -13
2