10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

The zeroes of the quadratic polynomial \[{{x}^{2}}+25x+156\]are:

A) both positive

B) both negative

C) one positive and one negative

D) can't be determined

Correct Answer: B

Solution :

[b] Let \[\alpha \] and \[\beta \] be the zeroes of\[{{x}^{2}}+25x+156\] .

Then, \[\alpha +\beta =-25\] and \[\alpha \beta =156\]

This happens when \[\alpha \] and \[\beta \] are both negative.