Find the polynomial having roots at $- 8$ , $0$ and $7$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} + x^{2} - 56 x$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$- 8$	$x + 8$
$0$	$x$
$7$	$x - 7$

Step 2: Multiply the factors together:

P (x) = (x + 8) \cdot x \cdot (x - 7) = x^{3} + x^{2} - 56 x

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Find the polynomial having roots at −8 , 0 and 7 .

The polynomial generated from the given zeros is: P(x)=x3+x2−56x

Find the polynomial having roots at $- 8$ , $0$ and $7$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} + x^{2} - 56 x$