Difference between revisions of "1965 AHSME Problems/Problem 19"

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== Problem 19==
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If <math>x^4 + 4x^3 + 6px^2 + 4qx + r</math> is exactly divisible by <math>x^3 + 3x^2 + 9x + 3</math>, the value of <math>(p + q)r</math> is:
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<math>\textbf{(A)}\ - 18 \qquad
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\textbf{(B) }\ 12 \qquad
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\textbf{(C) }\ 15 \qquad
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\textbf{(D) }\ 27 \qquad
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\textbf{(E) }\ 45 \qquad  </math> 
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== Solution 1 ==
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== See Also ==
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{{AHSME 40p box|year=1965|num-b=39|after=Last Question}}
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{{MAA Notice}}
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{{Category:Intermediate Algebra Problems}}

Revision as of 16:29, 4 September 2021

Problem 19

If $x^4 + 4x^3 + 6px^2 + 4qx + r$ is exactly divisible by $x^3 + 3x^2 + 9x + 3$, the value of $(p + q)r$ is:

$\textbf{(A)}\ - 18 \qquad  \textbf{(B) }\ 12 \qquad  \textbf{(C) }\ 15 \qquad  \textbf{(D) }\ 27 \qquad  \textbf{(E) }\ 45 \qquad$

Solution 1

See Also

1965 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 39
Followed by
Last Question
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