Find the polynomial having roots at $4$ , $4$ and $- 5$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} - 3 x^{2} - 24 x + 80$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$4$	$x - 4$
$4$	$x - 4$
$- 5$	$x + 5$

Step 2: Multiply the factors together:

P (x) = (x - 4) \cdot (x - 4) \cdot (x + 5) = x^{3} - 3 x^{2} - 24 x + 80

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Find the polynomial having roots at 4 , 4 and −5 .

The polynomial generated from the given zeros is: P(x)=x3−3x2−24x+80

Find the polynomial having roots at $4$ , $4$ and $- 5$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} - 3 x^{2} - 24 x + 80$