Find the polynomial having roots at $- 6$ , $- 4$ and $- 4$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} + 14 x^{2} + 64 x + 96$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$- 6$	$x + 6$
$- 4$	$x + 4$
$- 4$	$x + 4$

Step 2: Multiply the factors together:

P (x) = (x + 6) \cdot (x + 4) \cdot (x + 4) = x^{3} + 14 x^{2} + 64 x + 96

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Find the polynomial having roots at −6 , −4 and −4 .

The polynomial generated from the given zeros is: P(x)=x3+14x2+64x+96

Find the polynomial having roots at $- 6$ , $- 4$ and $- 4$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} + 14 x^{2} + 64 x + 96$