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Question

For what value of k, is 2 a zero of the polynomial 2x2+x+k.

A
6
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B
14
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C
33
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D
11
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Solution

The correct option is A 6
If 2 is a zero of the polynomial p(x)=2x2+x+k then p(2)=0.

Now substitute x=2 in the polynomial p(x)=2x2+x+k and equate it to 0 as shown below:

p(2)=2(2)22+k0=(2×4)2+k0=82+k0=6+kk=6

Hence, k=6.

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