Find the polynomial having roots at $55$ , $9$ and $3$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} - 67 x^{2} + 687 x - 1485$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$55$	$x - 55$
$9$	$x - 9$
$3$	$x - 3$

Step 2: Multiply the factors together:

P (x) = (x - 55) \cdot (x - 9) \cdot (x - 3) = x^{3} - 67 x^{2} + 687 x - 1485

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Find the polynomial having roots at 55 , 9 and 3 .

The polynomial generated from the given zeros is: P(x)=x3−67x2+687x−1485

Find the polynomial having roots at $55$ , $9$ and $3$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} - 67 x^{2} + 687 x - 1485$