Find the polynomial having roots at $- 8$ and $- 6$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{2} + 14 x + 48$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$- 8$	$x + 8$
$- 6$	$x + 6$

Step 2: Multiply the factors together:

P (x) = (x + 8) \cdot (x + 6) = x^{2} + 14 x + 48

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Find the polynomial having roots at −8 and −6 .

The polynomial generated from the given zeros is: P(x)=x2+14x+48

Find the polynomial having roots at $- 8$ and $- 6$ .

The polynomial generated from the given zeros is: $P (x) = x^{2} + 14 x + 48$