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

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} - x^{2} - 44 x + 84$

Explanation

Step 1: Turn the zeros into factors:

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

Step 2: Multiply the factors together:

P (x) = (x - 2) \cdot (x - 6) \cdot (x + 7) = x^{3} - x^{2} - 44 x + 84

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

The polynomial generated from the given zeros is: P(x)=x3−x2−44x+84

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

The polynomial generated from the given zeros is: $P (x) = x^{3} - x^{2} - 44 x + 84$