Find the polynomial having roots at $5$ , $6$ and $- 3$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} - 8 x^{2} - 3 x + 90$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$5$	$x - 5$
$6$	$x - 6$
$- 3$	$x + 3$

Step 2: Multiply the factors together:

P (x) = (x - 5) \cdot (x - 6) \cdot (x + 3) = x^{3} - 8 x^{2} - 3 x + 90

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Find the polynomial having roots at 5 , 6 and −3 .

The polynomial generated from the given zeros is: P(x)=x3−8x2−3x+90

Find the polynomial having roots at $5$ , $6$ and $- 3$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} - 8 x^{2} - 3 x + 90$