Find the polynomial having roots at $9$ , $4$ and $4$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} - 17 x^{2} + 88 x - 144$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$9$	$x - 9$
$4$	$x - 4$
$4$	$x - 4$

Step 2: Multiply the factors together:

P (x) = (x - 9) \cdot (x - 4) \cdot (x - 4) = x^{3} - 17 x^{2} + 88 x - 144

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Find the polynomial having roots at 9 , 4 and 4 .

The polynomial generated from the given zeros is: P(x)=x3−17x2+88x−144

Find the polynomial having roots at $9$ , $4$ and $4$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} - 17 x^{2} + 88 x - 144$