Find the polynomial having roots at $2$ , $6$ and $44$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} - 52 x^{2} + 364 x - 528$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$2$	$x - 2$
$6$	$x - 6$
$44$	$x - 44$

Step 2: Multiply the factors together:

P (x) = (x - 2) \cdot (x - 6) \cdot (x - 44) = x^{3} - 52 x^{2} + 364 x - 528

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Find the polynomial having roots at 2 , 6 and 44 .

The polynomial generated from the given zeros is: P(x)=x3−52x2+364x−528

Find the polynomial having roots at $2$ , $6$ and $44$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} - 52 x^{2} + 364 x - 528$