If one root of the polynomial f (x) = 5x2 + 13x + k is reciprocal of the other, then the value of k is

Q16 of 109 Page 3

If one root of the polynomial f (x) = 5x² + 13x + k is reciprocal of the other, then the value of k is

Given;

f(x) = 5x² + 13x + k

Let suppose roots are R and 1/R

Product of the roots = C/R = R×1/R

R×1/R = k/5

1 = k/5

So,

Here k = 5

If the polynomial f(x) = ax³ + bx – c is divisible by the polynomial g(x) = x² + bx + c, then ab =

In Q. No. 14, c =

If α, β, γ are the zeros of the polynomial f(x) = ax³ + bx² + cx + d, then =

If α, β, γ are the zeros of the polynomial f(x) = ax³ + bx² + cx + d, then α² + β² + γ² =