Find the polynomial having roots at $- 2$ , $2$ and $- 1$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} + x^{2} - 4 x - 4$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$- 2$	$x + 2$
$2$	$x - 2$
$- 1$	$x + 1$

Step 2: Multiply the factors together:

P (x) = (x + 2) \cdot (x - 2) \cdot (x + 1) = x^{3} + x^{2} - 4 x - 4

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Find the polynomial having roots at −2 , 2 and −1 .

The polynomial generated from the given zeros is: P(x)=x3+x2−4x−4

Find the polynomial having roots at $- 2$ , $2$ and $- 1$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} + x^{2} - 4 x - 4$