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Question

If 2 is a zero of both the polynomial, 3x2+ax14 and 2xb, then value of (a2b) is,


A

-7

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B

-6

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C

-5

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D

-4

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Solution

The correct option is C (7)


Substitute the value of x as 2 in both the equations and equate it zero, as 2 is zero of both the equations.
we will get, 3(2)2+a(2)14=0 and 2(2)b=0,
12+2a14=0 and 4b=0
2a2=0 and 4=b
2a=2
a=1, and b=4.

So, a2b=12(4)=18=7


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