Question

Form a quadratic polynomial whose one of the reroes is -15 and sum of the zeroes is 42.

Answer 1

Quadratic polynomial
p(x)=x^2-42x-855

Answer 2

Answer:

The quadratic polynomial is $bold{x^{2}-42 x-855=0}$

Step-by-step explanation:

Let the zeroes of the polynomial be represented as a and b.

Given one of the zeroes (a) = -15

Sum of the zeroes (a + b) = 42

a + b = 42 (i.e) -15 + b = 42

b = 42 - (-15)

b = 57

Product of the zeroes = a x b = -15 x 57 = -855

Hence the quadratic equation is $x^{2}$-(sum of the roots) x + Product of the roots = 0

$x^{2}-42 x-855=0$