Find the polynomial having roots at $444$ , $7$ and $3$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} - 454 x^{2} + 4461 x - 9324$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$444$	$x - 444$
$7$	$x - 7$
$3$	$x - 3$

Step 2: Multiply the factors together:

P (x) = (x - 444) \cdot (x - 7) \cdot (x - 3) = x^{3} - 454 x^{2} + 4461 x - 9324

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Find the polynomial having roots at 444 , 7 and 3 .

The polynomial generated from the given zeros is: P(x)=x3−454x2+4461x−9324

Find the polynomial having roots at $444$ , $7$ and $3$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} - 454 x^{2} + 4461 x - 9324$