Find the polynomial having roots at $- 9$ and $- 5$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{2} + 14 x + 45$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$- 9$	$x + 9$
$- 5$	$x + 5$

Step 2: Multiply the factors together:

P (x) = (x + 9) \cdot (x + 5) = x^{2} + 14 x + 45

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Find the polynomial having roots at −9 and −5 .

The polynomial generated from the given zeros is: P(x)=x2+14x+45

Find the polynomial having roots at $- 9$ and $- 5$ .

The polynomial generated from the given zeros is: $P (x) = x^{2} + 14 x + 45$