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Question 1 of 5Use Synthetic Division to Find each Quotient
$$(7x^3+36x+48x^2)\div(7x+6)$$ $$(7x^3+36x+48x^2)\div(7x+6)$$ $$(7x^3+36x+48x^2)$$$$\div\hspace{.25em}(7x+6)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$x^2+6x$$
B
$$7x+1+\frac{6}{7x+6}$$ $$7x+1+\frac{6}{7x+6}$$ $$7x+1$$$$+\hspace{.25em}\frac{6}{7x+6}$$
C
$$3x^2+1$$
D
$$x^2+2x+8$$
E
$$7x+6+\frac{1}{7x+6}$$ $$7x+6+\frac{1}{7x+6}$$ $$7x+6$$$$+\hspace{.25em}\frac{1}{7x+6}$$
Question 2 of 5Use Synthetic Division to Find each Quotient
$$(3x^3+x^2-24x)\div(3x-8)$$ $$(3x^3+x^2-24x)\div(3x-8)$$ $$(3x^3+x^2-24x)$$$$\div\hspace{.25em}(3x-8)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$x^2-3x+\frac{3}{3x-8}$$ $$x^2-3x+\frac{3}{3x-8}$$ $$x^2-3x$$$$+\hspace{.25em}\frac{3}{3x-8}$$
B
$$x^2-3x-8$$
C
$$x^2-3x-\frac{1}{3x-8}$$ $$x^2-3x-\frac{1}{3x-8}$$ $$x^2-3x$$$$-\hspace{.25em}\frac{1}{3x-8}$$
D
$$x^3+3x^2-1$$
E
$$x^2+3x$$
Question 3 of 5Use Synthetic Division to Find each Quotient
$$(6+5x^2+x^3)\div(x+5)$$ $$(6+5x^2+x^3)\div(x+5)$$ $$(6+5x^2+x^3)$$$$\div\hspace{.25em}(x+5)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$x^2+\frac{6}{x+5}$$
B
$$2x^2+\frac{6}{x+5}$$
C
$$x^2+3x-1$$
D
$$2x^2+\frac{5}{x+5}$$
E
$$x^2+3x+5$$
Question 4 of 5Use Synthetic Division to Find each Quotient
$$(8x^4+3x^3+24x+5)\div(8x+3)$$ $$(8x^4+3x^3+24x+5)$$$$\div\hspace{.25em}(8x+3)$$ $$(8x^4+3x^3$$$$+\hspace{.25em}24x+5)$$$$\div\hspace{.25em}(8x+3)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$4x^3+3x^2+1$$
B
$$2x^2+1-\frac{x}{8x+3}$$ $$2x^2+1-\frac{x}{8x+3}$$ $$2x^2+1$$$$-\hspace{.25em}\frac{x}{8x+3}$$
C
$$2x^3+x-\frac{2}{8x+3}$$ $$2x^3+x-\frac{2}{8x+3}$$ $$2x^3+x$$$$-\hspace{.25em}\frac{2}{8x+3}$$
D
$$12x^2-1-\frac{3}{8x+3}$$ $$12x^2-1-\frac{3}{8x+3}$$ $$12x^2-1$$$$-\hspace{.25em}\frac{3}{8x+3}$$
E
$$x^3+3-\frac{4}{8x+3}$$ $$x^3+3-\frac{4}{8x+3}$$ $$x^3+3$$$$-\hspace{.25em}\frac{4}{8x+3}$$
Question 5 of 5Use Synthetic Division to Find each Quotient
$$(18x^5-9x^4-24x+16)\div(6x-3)$$ $$(18x^5-9x^4-24x+16)$$$$\div\hspace{.25em}(6x-3)$$ $$(18x^5-9x^4$$$$-\hspace{.25em}24x+16)$$$$\div\hspace{.25em}(6x-3)$$
Finish »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$9x^3-3x+\frac{1}{6x-3}$$ $$9x^3-3x+\frac{1}{6x-3}$$ $$9x^3-3x$$$$+\hspace{.25em}\frac{1}{6x-3}$$
B
$$3x^4+x^2+1+\frac{1}{6x-3}$$ $$3x^4+x^2+1+\frac{1}{6x-3}$$ $$3x^4+x^2+1$$$$+\hspace{.25em}\frac{1}{6x-3}$$
C
$$-3x^4+4-\frac{4}{6x-3}$$ $$-3x^4+4-\frac{4}{6x-3}$$ $$-3x^4+4$$$$-\hspace{.25em}\frac{4}{6x-3}$$
D
$$3x^4-4+\frac{4}{6x-3}$$ $$3x^4-4+\frac{4}{6x-3}$$ $$3x^4-4$$$$+\hspace{.25em}\frac{4}{6x-3}$$
E
$$x^4+3x^2-4+\frac{1}{6x-3}$$ $$x^4+3x^2-4+\frac{1}{6x-3}$$ $$x^4+3x^2-4$$$$+\hspace{.25em}\frac{1}{6x-3}$$

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