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

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} - 2 x^{2} - 5 x + 6$

Explanation

Step 1: Turn the zeros into factors:

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

Step 2: Multiply the factors together:

P (x) = (x + 2) \cdot (x - 1) \cdot (x - 3) = x^{3} - 2 x^{2} - 5 x + 6

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

The polynomial generated from the given zeros is: P(x)=x3−2x2−5x+6

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

The polynomial generated from the given zeros is: $P (x) = x^{3} - 2 x^{2} - 5 x + 6$