Question

Write a polynomial in standard form that meets the following conditions. Assume a=1 and your function is f(x), The zeros are 5 and -4

Answer 1

Polynomials are equations that uses variables and several terms

The polynomial in standard form is f(x) = x^2 - x -20

How to determine the polynomial

The polynomial has 2 zeros.

So, the form of the polynomial is:

f(x) = a(x - x1)(x - x2)

The zeros of the polynomial are 5 and -4.

So, the equation becomes

f(x) = a(x - 5)(x + 4)

The value of a = 1.

So, we have;

f(x) = 1(x - 5)(x + 4)

This gives

f(x) = (x - 5)(x + 4)

Expand

f(x) = x^2 - x -20

Hence, the polynomial in standard form is f(x) = x^2 - x -20

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