Q33 of 109 Page 3

For what value of k, is 3 a zero of the polynomial 2x2 + x + k?

Given,


Polynomial 2x2 + x + k


Zero = 3


By putting x = 3


We get,


p(x) = 2x2 + x + k = 0


p(3) = 2(3)2 + 3 + k = 0


p(3) = 18 + 3 + k = 0


= 21 + k = 0


k = – 21


Hence the answer is – 21


More from this chapter

All 109 →
31

If α, β are the zeros of a polynomial such that α + β = – 6 and αβ = – 4, then write the polynomial.

 32

If α, β are the zeros of the polynomial 2y2 + 7y + 5, write the value of α + β + αβ.

 34

For what value of k, is – 3 a zero of the polynomial x2 + 11x + k?

 35

For what value of k, is – 2 a zero of the polynomial 3x2 + 4x + 2k?