Name: _____________________________
Class: _____________ Date: __________
Polynomials Multiple Choice Post-Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1 Simplify: (–7x – 5x4 + 5) – (–9x4 – 5 – 9x).
A 4x4 + 2x + 2
B –16x4 + 8x + 10
____
C –16x4 – 8x + 10
D 4x4 + 2x + 10
2 Simplify: (2w2 – 7w – 5) – (4w2 + 4w – 3).
A -2w2 – 11w – 2
B 6w2 + 11w + 2
____
3 Simplify the following:
C -2w2 – 3w – 8
D 6w2 – 12w – 8
(2 + 3i) + (5 - 2i)
A 3+i
B 3 + 5i
____
4 Find the zeros of the function, y = x 3 − 2x 2 − 5x + 10.
A
B
____
C 5i + 7
D i+7
C 5, -5, 2
D 5, -5, -2
5,− 5,2
5,− 5,−2
5 Simplify the following:
A 9 - 3i
B -2i + 14
(5 - 7i) + (10i + 4)
C 3i + 9
D 17i - 1
____
6 Simplify: −c(c 2 + 6c + 10).
A −c 2 + 7c + 10
B −c 2 + 5c + 10
____
C c 3 + 6c + 10
D −c 3 − 6c − 10c
7 Determine the zeros and end behavior of the polynomial graph:
A The zeros are -3, 2, 4 and the end
C The zeros are -3, 2, 4 and the end
behavior is left to right.
B
____
The zeros are 3, -2, -4 and the end
behavior is left to right.
8 Simplify the following polynomial: 8c 2 − c + 1 + 7c 2 − 9c − 7.
A c 2 + 8c + 8
B 15c 2 − 10c − 6
____
D
behavior is y approaches negative
infinity as x approaches negative infinity
and y approaches positive infinity as x
approaches positive infinity.
The zeros are -3, 2, 4 and the end
behavior is y approaches positive infinity
as x approaches negative infinity and y
approaches negative infinity as x
approaches positive infinity.
C −c 2 + 6c − 7
D −c 2 − 8c − 8
9 Put the following polynomial in standard form and then determine the specific family of functions it
belongs to: 4x 2 + 4x − 8x 3 − 10.
A −8x 3 + 4x 2 + 4x − 10, cubic function
B 8x 3 + 4x 2 − 4x − 10, cubic function
Algebra II Polynomials Post-Test
C 4x 2 + 4x − 8x 3 − 10, quadratic function
D −8x 3 + 4x 2 + 4x − 10,quadratic function
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10 Divide 4x 3 − 10x 2 + 8x by 2x.
A 2x 2 + 5x + 4
B 8x 4 − 20x 3 + 16x 2
11 Simplify the sum: (-2u3 + 5u2 + 7) + (8u3 – 6u + 3).
A 6u3 + 5u2 – 6u + 10
B 10 – 6u + 5u2 + 14 u3
____
C 9w 2 + 12w + 5
D 5w 2 − 12w − 5
13 Using the graph below, write a polynomial function in factored form.
A y = (x + 1)(x + 2)(x - 5)
B y = 0.25(x + 1)(x + 2)(x -5)
____
C -2u3 – 6u2 + 5u – 10
D -2u3 + 5u2 – 6u + 10
12 Simplify the polynomial: 7w 2 − 7w − 8 − 2w 2 − 5w + 3.
A 5w 2 − 2w − 11
B 9w 2 − 2w − 11
____
C 2x 2 − 8x + 6
D 2x 2 − 5x + 4
C y = -0.25(x + 1)(x + 2)(x - 5)
D y = (x + 1)(x + 2)(x - 5)
14 Simplify the following: (6 - 3i) - (2i - 8).
A -i - 2
B -i + 14
Algebra II Polynomials Post-Test
C -5i - 2
D -5i + 14
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15 Solve the following polynomial: 4x 2 + 11x = −12.
A
−11 ± i 313
8
C
−11 ± 71
8
B
−11 ± i 71
8
D
−11 ± 313
8
16 Mulitply the following: (3 + 3i)(12 − 2i).
A 36 + 30 − 6i 2
B 42 + 30i
____
C 36 − 6i 2
D 42
17 Using the table below, write an equation that will model the polynomial, then state the appropriate
family of functions.
x
y
-4
0
-3
20
-2
16
-1
0
A y = -2(x - 4)(x - 1)(x + 2)
B y = 2(x + 4)(x + 1)(x - 2)
____
1
-20
2
0
3
56
4
160
C y = (x + 4)(x + 1)(x - 2)
D y = 2(x - 4)(x - 1)(x + 2)
18 Evaluate 3x 3 − 2x 2 − 6x + 10, using x = −2.
A 18
B -6
____
0
-16
C 6
D -10
19 Solve the following polynomial equation: x 3 + 3x 2 − 4x = 0.
A x = 0, x = -4, x = 1
B x = 1, x = -4
Algebra II Polynomials Post-Test
C x = 0, x = -1, x = 4
D x = -1, x = 4
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20 Find the area of the UNSHADED region. Both shapes are squares.
A –2x2 + 16x + 64
B x2 + 14x + 64
____
21 Use a conjugate to simplify the following:
A
B
____
−2 + 12i
100
34 + 12i
100
2 + 3i
6i + 8
C
D
34 + 12i
−100
−2 + 12i
−100
22 Simplify: (5x3 - x + 4x2 + 8) + (2x2 + 7 - 4x) + (4x2 - 2 - x3) .
A 6x 3 + 6x 2 − 3x + 15
B 4x 3 + 10x 2 − 5x + 13
____
C 16x + 64
D x2 + 16x + 64
C 9x 6 + 10x 4 − 5x − 6
D 4x 9 + 8x 6 + 5x + 17
23 Simplify: (4m8 + 2m7 - 6m5) ÷ 2m3
A 2m5 + 2m7 - 6m2
B 2m5 + m4 - 3m2
Algebra II Polynomials Post-Test
C 2m8 + m7 - 3m5
D 2m5 + m4 - 6m5
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24 Write the perimeter of the figure.
A 9x + 7x
B 10x + 3x + 2
____
____
25 Simplify the following:
A -7 - i
B 13 - i
C 13x + 1
D 13x
(3 +
−16) − (10 +
C (0, 16)
D (0, -16)
27 Multiply the following: (12 + 4i)(3 + i).
A 36 + 24i + 4i 2
B 40
____
C −7 + −41
D -7 + 9i
26 Using the function f(x) = 2x 2 + 4x − 10, determine the y-intercept of the graph.
A (0, -10)
B (0, 10)
____
−25)
C 32 + 24i
D 36 + 4i 2
28 Using the function y = 2x 2 + 3x − 5, determine the x-intercepts.
A (1, 0) and (5, 0)
B (-1, 0) and (-5, 0)
Algebra II Polynomials Post-Test
C (-1, 0) and (2.5, 0)
D (1, 0) and (-2.5, 0)
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29 Simplify: (2k + 3)(2k2 – 5k – 2).
A 4k3 + 19k2 – 4k – 6
B 4k3 + 16k2 – 11k – 6
____
30 Use conjugates to simplify the following:
A
B
26 − 2i
34
26 − 2i
16
Algebra II Polynomials Post-Test
C 4k3 – 4k2 + 11k – 6
D 4k3 – 4k2 – 19k – 6
4 + 2i
.
5 + 3i
C
D
26 − 2i
−34
14 − 2i
34
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