Question

If one zero of the quadratic polynomial p (x)=xsquare+4kx-25 is negative of the other find the value of k

Answer 1

Answer:pls mark as brainliest

Step-by-step explanation:

Hey !

Let us consider one zero of the polynomial is " a "

According to the question,

Other zero of the polynomial = - a

Sum of roots = a + ( -a) = 0

We know that,

For a quadratic equation,

Sum of roots = - ( Coefficient of x) / Coefficient of x²

Given polynomial = x² + 4kx - 25

So, Sum of roots = 4k/1 = 4k

From the data of this question,

Sum of roots = 0

That is, 4k = 0