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Question

If x2 is a factor of both p(x)=3xa and q(x)=4xb, what is the value of a+b ?

A
6
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B
8
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C
14
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D
13
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Solution

The correct option is C 14
x2is a factor of p(x) and q(x), we can say
p(2)=0 and q(2)=0.

p(2)=0
3(2)a=0
a=6

Also,
q(2)=0
4(2)b=0
b=8

a+b=6+8=14

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