Find the polynomial having roots at $0$ , $2$ and $3$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} - 5 x^{2} + 6 x$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$0$	$x$
$2$	$x - 2$
$3$	$x - 3$

Step 2: Multiply the factors together:

P (x) = x \cdot (x - 2) \cdot (x - 3) = x^{3} - 5 x^{2} + 6 x

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Find the polynomial having roots at 0 , 2 and 3 .

The polynomial generated from the given zeros is: P(x)=x3−5x2+6x

Find the polynomial having roots at $0$ , $2$ and $3$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} - 5 x^{2} + 6 x$