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

Revision as of 15:29, 4 September 2021

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:

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

1965 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 39	Followed by Last Question
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40
All AHSME Problems and Solutions

This page lists all of the intermediate algebra problems in the AoPSWiki.

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-BRo WHAT NOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+== Problem 19==
+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:
+<math>\textbf{(A)}\ - 18 \qquad
+\textbf{(B) }\ 12 \qquad
+\textbf{(C) }\ 15 \qquad
+\textbf{(D) }\ 27 \qquad
+\textbf{(E) }\ 45 \qquad   </math>
+== Solution 1 ==
+== See Also ==
+{{AHSME 40p box|year=1965|num-b=39|after=Last Question}}
+{{MAA Notice}}
+{{Category:Intermediate Algebra Problems}}