Find the polynomial having roots at $- 3$ , $1$ and $- 2$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} + 4 x^{2} + x - 6$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$- 3$	$x + 3$
$1$	$x - 1$
$- 2$	$x + 2$

Step 2: Multiply the factors together:

P (x) = (x + 3) \cdot (x - 1) \cdot (x + 2) = x^{3} + 4 x^{2} + x - 6

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Find the polynomial having roots at −3 , 1 and −2 .

The polynomial generated from the given zeros is: P(x)=x3+4x2+x−6

Find the polynomial having roots at $- 3$ , $1$ and $- 2$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} + 4 x^{2} + x - 6$