Question

find a quadratic polynomial whose zeros are -5 and 8

Answer 1

x^2+5x+9.............

Answer 2

Answer:

The required polynomial is $p(x)=x^2-3x-40$  

Step-by-step explanation:

To find : A quadratic polynomial whose zeros are -5 and 8 ?

Solution :

The zeros of the quadratic polynomial is -5 and 8.

which means the factors of the polynomial is (x+5) and (x-8).

The polynomial form is $(x+5)(x-8)=0$

$x^2-8x+5x-40=0$

$x^2-3x-40=0$

Therefore, the required polynomial is $p(x)=x^2-3x-40$