Find the polynomial having roots at $0$ , $- 9$ and $- 4$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} + 13 x^{2} + 36 x$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$0$	$x$
$- 9$	$x + 9$
$- 4$	$x + 4$

Step 2: Multiply the factors together:

P (x) = x \cdot (x + 9) \cdot (x + 4) = x^{3} + 13 x^{2} + 36 x

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Find the polynomial having roots at 0 , −9 and −4 .

The polynomial generated from the given zeros is: P(x)=x3+13x2+36x

Find the polynomial having roots at $0$ , $- 9$ and $- 4$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} + 13 x^{2} + 36 x$