Find the polynomial having roots at $10$ , $20$ and $- 10$ .

Answer

The polynomial generated from the given zeros is: $P (x) = x^{3} - 20 x^{2} - 100 x + 2000$

Explanation

Step 1: Turn the zeros into factors:

Zero	Factor
$10$	$x - 10$
$20$	$x - 20$
$- 10$	$x + 10$

Step 2: Multiply the factors together:

P (x) = (x - 10) \cdot (x - 20) \cdot (x + 10) = x^{3} - 20 x^{2} - 100 x + 2000

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Find the polynomial having roots at 10 , 20 and −10 .

The polynomial generated from the given zeros is: P(x)=x3−20x2−100x+2000

Find the polynomial having roots at $10$ , $20$ and $- 10$ .

The polynomial generated from the given zeros is: $P (x) = x^{3} - 20 x^{2} - 100 x + 2000$