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

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} + 3 x^{2} - 40 x - 84$

Explanation

Step 1: Turn the zeros into factors:

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

Step 2: Multiply the factors together:

P (x) = (x - 6) \cdot (x + 7) \cdot (x + 2) = x^{3} + 3 x^{2} - 40 x - 84

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

The polynomial generated from the given zeros is: P(x)=x3+3x2−40x−84

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

The polynomial generated from the given zeros is: $P (x) = x^{3} + 3 x^{2} - 40 x - 84$