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

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} + 3 x^{2} - 10 x - 24$

Explanation

Step 1: Turn the zeros into factors:

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

Step 2: Multiply the factors together:

P (x) = (x - 3) \cdot (x + 4) \cdot (x + 2) = x^{3} + 3 x^{2} - 10 x - 24

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

The polynomial generated from the given zeros is: P(x)=x3+3x2−10x−24

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

The polynomial generated from the given zeros is: $P (x) = x^{3} + 3 x^{2} - 10 x - 24$