Multiple Choice Identify the
choice that best completes the statement or answers the question.
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1.
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Write the polynomial in standard form. Then name the polynomial based on its
degree and number of terms. 2 – 11x2 – 8x +
6x2
a. | –5x2 – 8x + 2; quadratic
trinomial | c. | –6x2 – 8x – 2; cubic
polynomial | b. | 5x2 – 8x – 2; quadratic
trinomial | d. | 6x2 – 8x + 2; cubic
trinomial |
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2.
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Write the polynomial in standard form. 9g –
6g3 + g2 – 2
a. | –6g3 + g2 + 9g –
2 | c. | –2 + 9g + g2 –
6g3 | b. | 6g3 –
g2 + 9g – 2 | d. | g3 – 6g2 + 9g –
2 |
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Find the degree of the monomial.
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3.
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7m6n5
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4.
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6x8y3
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5.
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Match the expression with its name. 5x2 – 2x +
10
a. | fourth-degree binomial | c. | cubic monomial | b. | not a polynomial | d. | quadratic
trinomial |
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Simplify the difference.
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6.
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(–7x – 5x4 + 5) –
(–7x4 – 5 – 9x)
a. | 2x4 + 2x + 8 | c. | –14x4
– 10x + 10 | b. | –14x4 + 10x +
10 | d. | 2x4 +
2x + 10 |
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7.
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(8w2 – 3w – 5) –
(4w2 + 2w – 2)
a. | 12w2 – 1w – 7 | c. | 12w2 + 5w
+ 3 | b. | 4w2 – 1w – 7 | d. | 4w2 – 5w –
3 |
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8.
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Simplify the sum. (2u3 + 7u2 + 3) +
(5u3 – 7u + 4)
a. | –3u3 + 7u2 – 7u +
7 | c. | 7
– 7u + 7u2 + 7
u3 | b. | 7u3 + 7u2
– 7u + 7 | d. | –3u3 – 7u2 + 7u –
7 |
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Simplify the product.
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9.
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2n(n2 + 3n + 4)
a. | 2n3 + 6n2 + 8n | c. | 2n3 + 6n + 8 | b. | 2n3 + 3n +
4 | d. | n2 +
5n + 4 |
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10.
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5x5(8x4 + 4y4)
a. | 40x9 + 20x5y4 | c. | 13x9 +
9x5y4 | b. | 40x9 +
20xy9 | d. | 13x20 +
9x5y4 |
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11.
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7a4(3a5 –
7b2)
a. | 21a9 – 49ab6 | c. | 10a20 –
14a4b5 | b. | 21a9 –
49a4b2 | d. | 10a9 –
14a4b5 |
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12.
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5a2(3a4 + 3b)
a. | 8a4 + 8ab | c. | 15a6 +
15a2b | b. | 15a8 +
3b | d. | 8a6 +
15a2b |
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13.
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8p(–3p2 + 6p – 2)
a. | –5p3 + 14p2 –
6p | c. | 14p2 – 6p –
5p3 | b. | 48p2 – 16p
– 24p3 | d. | –24p3 + 48p2 –
16p |
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Factor the polynomial.
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14.
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a. | 2x(x2 + 2x + 4) | c. | x(2x2 +
4x + 8) | b. | 2x(x + 2)(x + 4) | d. | 2x3 + 4x2 +
8x |
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15.
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42w8 + 12w4
a. | 6w3(7w5 + 2w) | c. | 6w4(7w4 + 2) | b. | w4(42w4 + 12) | d. | 6(7w8 +
2w4) |
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16.
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54c3d4 +
9c4d2
a. | 9c3d2(d2 +
6c) | c. | 9c4d2(d2 +
6) | b. | 9c3d2(6d2 +
c) | d. | 9c4d2(6d2 +
1) |
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17.
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Find the GCF of the terms of the polynomial. 38x6 +
26x2
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Simplify the product using FOIL.
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18.
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(3x – 7)(3x – 5)
a. | 9x2 + 6x + 35 | c. | 9x2 –
36x – 35 | b. | 9x2 + 36x +
35 | d. | 9x2
– 36x + 35 |
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19.
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20.
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Simplify the product using the distributive property.
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Find the square.
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21.
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(2x – 6)2
a. | 4x2 – 24x + 36 | c. | 4x2 +
36 | b. | 4x2 – 8x + 36 | d. | 4x2 – 12x +
36 |
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22.
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Find the product.
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23.
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(j + 7)(j – 7)
a. | j2 + 14j – 49 | c. | j2 + 14j
– 49 | b. | j2 – 14j – 49 | d. | j2 –
49 |
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24.
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(2n + 2)(2n – 2)
a. | 4n2 – 4 | c. | 4n2 + 2n
– 4 | b. | 4n2 – 4n – 4 | d. | 4n2 + 4n –
4 |
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25.
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(2p – 4)(2p + 4)
a. | 4p2 – 16 | c. | 4p2 +
16 | b. | 4p2 – 16p – 16 | d. | 4p2 + 16p +
16 |
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Factor the expression.
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26.
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w2 + 18w + 77
a. | (w – 7)(w + 11) | c. | (w + 7)(w +
11) | b. | (w – 7)(w – 11) | d. | (w + 1)(w +
77) |
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27.
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d2 + 14d + 40
a. | (d + 4)(d + 10) | c. | (d – 4)(d
– 10) | b. | (d – 4)(d + 10) | d. | (d + 4)(d –
10) |
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28.
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x2 – x – 42
a. | (x – 7)(x + 6) | c. | (x + 7)(x –
6) | b. | (x + 7)(x + 6) | d. | (x – 7)(x –
6) |
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29.
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6x2 + 5x + 1
a. | (3x – 1)(2x – 1) | c. | (3x – 1)(2x +
1) | b. | (3x + 1)(2x – 1) | d. | (3x + 1)(2x +
1) |
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30.
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31.
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r2 – 49
a. | (r – 7)(r + 7) | c. | (r – 7)(r
– 7) | b. | (r + 7)(r + 7) | d. | (r – 7)(r +
9) |
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32.
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4x2 – 81y2
a. | (2x + 9)(2x – 9) | c. | (2x +
9y)2 | b. | (2x + 9y)(2x –
9y) | d. | (2x
– 9y)2 |
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33.
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k2 – 9h2
a. | (k – 3h2)(k + 3) | c. | (k + 3h)(k +
3h) | b. | h2(k + 3)(k – 3) | d. | (k + 3h)(k –
3h) |
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34.
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64b2 – 81
a. | (8b + 9)(8b + 9) | c. | (8b – 9)(8b
– 9) | b. | (9b + 8)(9b – 8) | d. | (8b + 9)(8b –
9) |
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35.
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3x3 + 3x2 + x + 1
a. | x(3x2 + x + 1) | c. | 3x2(x +
1) | b. | (x + 3)(3x2 – 1) | d. | (x + 1)(3x2 +
1) |
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