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Question 1 of 5Simplify each, state the domain:
$$\frac{2x^3 + 5x^2 - 7x}{7x^2 - 7}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{5x - 3}{(x - 2)(7x + 4)}$$ $$\left\{x | x ≠ -\frac{4}{7}, 0, 2 \right\}$$
B
$$\frac{5x + 3}{x - 1}$$ $$\{x | x ≠ -1,1\}$$
C
$$\frac{x - 2}{x(2x - 1)}$$ $$\left\{x | x ≠ -10, 0, \frac{1}{2}\right\}$$
D
$$\frac{x(2x+7)}{7(x+1)}$$ $$\{x | x ≠ -1,1\}$$
E
$$\frac{x^2(2x-1)}{7(x+1)}$$ $$\{x | x ≠ 0, 7\}$$
Question 2 of 5Simplify each, state the domain:
$$\frac{5x^3 - 5x^2 - 10x}{8x^2 + 92x + 180}$$
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A
$$\frac{7x - 9}{2x(2x + 5)}$$ $$\left\{x | x ≠ -\frac{5}{2}, 0, 3\right\}$$
B
$$\frac{x - 4}{5x - 8}$$ $$\left\{x | x ≠ -\frac{8}{5}, 8\right\}$$
C
$$\frac{5x - 8}{x - 4}$$ $$\left\{x | x ≠ 4,8\right\}$$
D
$$\frac{5x(x - 2)(x + 1)}{4(x + 9)(2x + 5)}$$ $$\left\{x | x ≠ -9, -\frac{5}{2}\right\}$$
E
$$\frac{2x - 1}{x + 3}$$ $$\left\{x | x ≠ -2, 0, 7\right\}$$
Question 3 of 5Simplify each, state the domain:
$$\frac{3x^2 - 8x - 60}{9x^3 - 69x^2 + 90x}$$
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A
$$\frac{6(x + 2)}{7x - 6}$$ $$\left\{x | x ≠ -8, 0, \frac{6}{7}\right\}$$
B
$$\frac{3x + 10}{3x(3x - 5)}$$ $$\left\{x | x ≠ 0, \frac{5}{3}, 6\right\}$$
C
$$\frac{(5x - 4)(x + 1)}{(x - 2)(2x - 5)}$$ $$\left\{x | x ≠ 0, \frac{2}{5}, 2\right\}$$
D
$$\frac{2(x - 2)}{3(7x - 10)}$$ $$\left\{x | x ≠ -10, 0, \frac{10}{7}\right\}$$
E
$$\frac{x - 9}{x^2(x - 1)(x + 8)}$$ $$\left\{x | x ≠ -3,0,1\right\}$$
Question 4 of 5Simplify each, state the domain:
$$\frac{7x^2 - 35x - 42}{6x^3 - 24x^2}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{7(x - 6)(x + 1)}{6x^2(x - 4)}$$ $$\left\{x | x ≠ 0,4\right\}$$
B
$$\frac{6x^2(x - 4)}{7(x - 6)(x + 1)}$$ $$\left\{x | x ≠ -1, 6\right\}$$
C
$$\frac{7x + 6}{2(x + 5)}$$ $$\left\{x | x ≠ -5,-2\right\}$$
D
$$\frac{3x - 8}{7x + 10}$$ $$\left\{x | x ≠ -10, -\frac{10}{7}, 0\right\}$$
E
$$\frac{x - 7}{2x^2(x + 9)}$$ $$\left\{x | x ≠ -1, 0, 5\right\}$$
Question 5 of 5Simplify each, state the domain:
$$\frac{35x^3 - 140x}{35x^2 + 49x}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{2x + 5}{3x + 4}$$ $$\left\{x | x ≠ -\frac{4}{3}, 2\right\}$$
B
$$\frac{5(x - 2)(x + 2)}{5x + 7}$$ $$\left\{x | x ≠ -\frac{7}{5}, 0\right\}$$
C
$$\frac{8(x + 1)}{5x - 7}$$ $$\left\{x | x ≠ -9, \frac{7}{5}\right\}$$
D
$$\frac{3x + 4}{2x + 5}$$ $$\left\{x | x ≠ -\frac{5}{2}, 2\right\}$$
E
$$\frac{2x - 7}{x + 1}$$ $$\left\{x | x ≠ -\frac{1}{5}, -2\right\}$$

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