Question

write a quadratic polynomial whose zeros are -2 and 4 respectively

Answer 1

(x+2)(x-4),

(x²-4x+2x-8),

(x²-2x-8)

Answer 2

Answer:

$\text{The quadratic equation is }x^2-2x-8=0$

Step-by-step explanation:

Given the zeroes of the quadratic polynomial. we have to write the quadratic equation whose zeros are -2 and 4 respectively.

As the formation of quadratic equation as

$x^2-\text{(Sum of roots)x+Product of roots=}0$

⇒ $x^2-(-2+4)x+(-2)(4)=0$

⇒ $x^2-2x-8=0$

which is required quadratic equation.