Find the polynomial having roots at $8$ , $- 3$ and $- 2$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} - 3 x^{2} - 34 x - 48$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$8$	$x - 8$
$- 3$	$x + 3$
$- 2$	$x + 2$

Step 2: Multiply the factors together:

P (x) = (x - 8) \cdot (x + 3) \cdot (x + 2) = x^{3} - 3 x^{2} - 34 x - 48

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Find the polynomial having roots at 8 , −3 and −2 .

The polynomial generated from the given zeros is: P(x)=x3−3x2−34x−48

Find the polynomial having roots at $8$ , $- 3$ and $- 2$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} - 3 x^{2} - 34 x - 48$