Question

The zeros of a polynomial function are 1/2, -4 and -1.

Answer 1

Answer:

The factors are $(x- \frac {\bf 1} {\bf 2}){\bf (x+4)}{\bf (x+1)}$

Step-by-step explanation:

Given that $\frac{1}{2} ,-4, -1$ are the zeroes of the polynomial

Let the polynomial be $P(x)$

For the polynomial $P(x)$, If r is a zero of $P(x)$ then $(x-r)$ will be a factor of P(x).

If $(x-r)$ is a factor of P(x) then r will be a zero of P(x).

From the given Zeroes we can write it in  form of factors as below:

$P(x) = (x- \frac{1}{2})(x-(-4))(x-(-1))$

$P(x) = (x- \frac{1}{2})(x+4)(x+1)$