Question

Find a quadratic polynomial whose zeroes are -5 and 3

Answer 1

go through the solution step by step

Answer 2

Answer:

$x^2+2x-15=0$

Step-by-step explanation:

Given : -5 and 3 are zeroes

To Find: Find a quadratic polynomial whose zeroes are -5 and 3

Solution:

We are given that  -5 and 3 are zeroes

So, $(x+5)(x-3)=0$

$x(x-3)+5(x-3)=0$

$x^2-3x+5x-15=0$

$x^2+2x-15=0$

Thus the required polynomial is $x^2+2x-15=0$

Hence the polynomial whose zeroes are -5 and 3 is  $x^2+2x-15=0$