Question

a quadratic polynomial whose zeroes are 5&-2 is ___

Answer 1

Answer:

$x^{2} - 3x-10$

Step-by-step explanation:

Let f(x) be the quadratic polynomial.

if 5 and -2 are the zeros of the polynomial,then

f(x)=(x-5)(x+2)

as f(x) is 0 when x = 5 or -2.

Simplifying,

$f(x)=x^{2} -5x+2x-10\\f(x) = x^{2} -3x-10$