Find the polynomial having roots at $- 3$ , $- 4$ and $- 6$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} + 13 x^{2} + 54 x + 72$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$- 3$	$x + 3$
$- 4$	$x + 4$
$- 6$	$x + 6$

Step 2: Multiply the factors together:

P (x) = (x + 3) \cdot (x + 4) \cdot (x + 6) = x^{3} + 13 x^{2} + 54 x + 72

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Find the polynomial having roots at −3 , −4 and −6 .

The polynomial generated from the given zeros is: P(x)=x3+13x2+54x+72

Find the polynomial having roots at $- 3$ , $- 4$ and $- 6$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} + 13 x^{2} + 54 x + 72$