Find the polynomial having roots at $11$ , $17$ , $0$ and $7$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{4} - 35 x^{3} + 383 x^{2} - 1309 x$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$11$	$x - 11$
$17$	$x - 17$
$0$	$x$
$7$	$x - 7$

Step 2: Multiply the factors together:

P (x) = (x - 11) \cdot (x - 17) \cdot x \cdot (x - 7) = x^{4} - 35 x^{3} + 383 x^{2} - 1309 x

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Find the polynomial having roots at 11 , 17 , 0 and 7 .

The polynomial generated from the given zeros is: P(x)=x4−35x3+383x2−1309x

Find the polynomial having roots at $11$ , $17$ , $0$ and $7$ .

The polynomial generated from the given zeros is: $P (x) = x^{4} - 35 x^{3} + 383 x^{2} - 1309 x$