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Question

When 2x2−ax+7 and ax2+7x+12 are divided by (x-3) and (x+1) respectively, the remainder is same. Find the value of a.

A
a=7
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B
a=14
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C
a=21
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D
a=5
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Solution

The correct option is D a=5
2x2ax+7 and ax2+7x+12 are divided by (x3) and (x+1) respectively, the remainder is same.
Thus by Remainder Theorem,
2(3)2a(3)+7=a(1)2+7(1)+12
=>183a+7=a7+12
=>4a+25=5
=>4a=20
=>a=5

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