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

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} + x^{2} - 33 x + 63$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$- 7$	$x + 7$
$3$	$x - 3$
$3$	$x - 3$

Step 2: Multiply the factors together:

P (x) = (x + 7) \cdot (x - 3) \cdot (x - 3) = x^{3} + x^{2} - 33 x + 63

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

The polynomial generated from the given zeros is: P(x)=x3+x2−33x+63

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

The polynomial generated from the given zeros is: $P (x) = x^{3} + x^{2} - 33 x + 63$