Find the polynomial having roots at $2$ , $- 4$ and $3$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} - x^{2} - 14 x + 24$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$2$	$x - 2$
$- 4$	$x + 4$
$3$	$x - 3$

Step 2: Multiply the factors together:

P (x) = (x - 2) \cdot (x + 4) \cdot (x - 3) = x^{3} - x^{2} - 14 x + 24

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Find the polynomial having roots at 2 , −4 and 3 .

The polynomial generated from the given zeros is: P(x)=x3−x2−14x+24

Find the polynomial having roots at $2$ , $- 4$ and $3$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} - x^{2} - 14 x + 24$