Find the polynomial having roots at $2$ , $4$ and $- 8$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} + 2 x^{2} - 40 x + 64$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$2$	$x - 2$
$4$	$x - 4$
$- 8$	$x + 8$

Step 2: Multiply the factors together:

P (x) = (x - 2) \cdot (x - 4) \cdot (x + 8) = x^{3} + 2 x^{2} - 40 x + 64

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Find the polynomial having roots at 2 , 4 and −8 .

The polynomial generated from the given zeros is: P(x)=x3+2x2−40x+64

Find the polynomial having roots at $2$ , $4$ and $- 8$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} + 2 x^{2} - 40 x + 64$