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

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} - x^{2} - 30 x + 72$

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} - x^{2} - 30 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−x2−30x+72

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

The polynomial generated from the given zeros is: $P (x) = x^{3} - x^{2} - 30 x + 72$