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Question

If x-2 is a factor of p(x)=ax4, q(x)=bx2+3x+9 and r(x)=3xc, what is the value of (a + 4b + c)?


A
6
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B
-6
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C
7
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D
-7
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Solution

The correct option is D -7
Given, p(x)=ax4
q(x)=bx2+3x+9
r(x)=3xc
Now, x2 = 0 x=2
P(2) = a(2) - 4 = 0
2a=4
a=2
q(2)=b(2)2+3(2)+9=0
4b+15=0
4b=15
r(2)=3(2)C=0
a+4b+c=2+(15)+6=7

Mathematics

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