Find the polynomial having roots at $- 1$ , $0$ and $2$ .

Answer

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

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$- 1$	$x + 1$
$0$	$x$
$2$	$x - 2$

Step 2: Multiply the factors together:

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

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Find the polynomial having roots at −1 , 0 and 2 .

The polynomial generated from the given zeros is: P(x)=x3−x2−2x

Find the polynomial having roots at $- 1$ , $0$ and $2$ .

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