Question
Find the polynomial having roots at $ 8 $ , $ -6 $ , $ 6 $ and $ 0 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4-8x^3-36x^2+288x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 8 $ | $ x-8 $ |
| $ -6 $ | $ x+6 $ |
| $ 6 $ | $ x-6 $ |
| $ 0 $ | $ x $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-8 \right) \cdot \left( x+6 \right) \cdot \left( x-6 \right) \cdot x = x^4-8x^3-36x^2+288x $$This page was created using
Polynomial From Roots Calculator