Q.

The number of quadratic polynomials having zeros –5 and –3 is:

1 1  
2 2  
3 3  
4 more than 3  

Ans.

(4)

Given: zeros of the polynomial are –5 and –3.

Polynomials having zeros –5 and –3 are given by p(x) = k(x + 5)(x + 3).

⇒ p(x) = k(x² + 8x + 15), where k is any real constant.

∴ k can have infinitely many values. So, number of possible polynomials is infinitely many.