Q32 of 109 Page 3

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

Given,


Polynomial 2y2 + 7y + 5


Zeroes = a, 13


Here a = 2


b = 7


c = 5


Lets take α and β are two zero,


So sum of the zeroes will be,


α + β = – b/a = – 7/2


Product of the zeroes = α. β = c/a = 5/2


Now put the values,


α + β + αβ = (α + β) αβ


= – 7/2 + 5/2 = – 2/2 = – 1


More from this chapter

All 109 →
30

If 1 is a zero of the polynomial p(x) = ax2 – 3(a – 1) x – 1, then find the value of a.

 31

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

 33

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

 34

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