Find the polynomial having roots at $- 9$ and $- 7$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{2} + 16 x + 63$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$- 9$	$x + 9$
$- 7$	$x + 7$

Step 2: Multiply the factors together:

P (x) = (x + 9) \cdot (x + 7) = x^{2} + 16 x + 63

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Find the polynomial having roots at −9 and −7 .

The polynomial generated from the given zeros is: P(x)=x2+16x+63

Find the polynomial having roots at $- 9$ and $- 7$ .

The polynomial generated from the given zeros is: $P (x) = x^{2} + 16 x + 63$