Find the polynomial having roots at $13$ and $17$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{2} - 30 x + 221$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$13$	$x - 13$
$17$	$x - 17$

Step 2: Multiply the factors together:

P (x) = (x - 13) \cdot (x - 17) = x^{2} - 30 x + 221

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Find the polynomial having roots at 13 and 17 .

The polynomial generated from the given zeros is: P(x)=x2−30x+221

Find the polynomial having roots at $13$ and $17$ .

The polynomial generated from the given zeros is: $P (x) = x^{2} - 30 x + 221$