Find the polynomial having roots at $2$ , $9$ and $- 2$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} - 9 x^{2} - 4 x + 36$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$2$	$x - 2$
$9$	$x - 9$
$- 2$	$x + 2$

Step 2: Multiply the factors together:

P (x) = (x - 2) \cdot (x - 9) \cdot (x + 2) = x^{3} - 9 x^{2} - 4 x + 36

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Find the polynomial having roots at 2 , 9 and −2 .

The polynomial generated from the given zeros is: P(x)=x3−9x2−4x+36

Find the polynomial having roots at $2$ , $9$ and $- 2$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} - 9 x^{2} - 4 x + 36$