Find the polynomial having roots at $2$ , $- 7$ and $- 6$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} + 11 x^{2} + 16 x - 84$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$2$	$x - 2$
$- 7$	$x + 7$
$- 6$	$x + 6$

Step 2: Multiply the factors together:

P (x) = (x - 2) \cdot (x + 7) \cdot (x + 6) = x^{3} + 11 x^{2} + 16 x - 84

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Find the polynomial having roots at 2 , −7 and −6 .

The polynomial generated from the given zeros is: P(x)=x3+11x2+16x−84

Find the polynomial having roots at $2$ , $- 7$ and $- 6$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} + 11 x^{2} + 16 x - 84$