Question

2. Find a quadratic polynomial whose sum of zeroes is 0 and
One of the zero is -4.

Answer 1

Answer:

$f(x) = {x}^{2} - 16$

Step-by-step explanation:

Let

$f(x) = a {x}^{2} + bx + c$

be a quadratic polynomial.

Sum of zeroes is 0.

One zero is -4 and sum of the zeroes is 0. So, the other zero must be 4.

Now, quadratic polynomial becomes

$f(x) = (x + 4)(x -4) \\ f(x) = {x}^{2} - 16$

This of the required answer.

Thank you