Question
Find the polynomial having roots at $ 0 $ , $ 10 $ , $ 20 $ and $ 30 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4-60x^3+1100x^2-6000x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 0 $ | $ x $ |
| $ 10 $ | $ x-10 $ |
| $ 20 $ | $ x-20 $ |
| $ 30 $ | $ x-30 $ |
Step 2: Multiply the factors together:
$$ P(x) = x \cdot \left( x-10 \right) \cdot \left( x-20 \right) \cdot \left( x-30 \right) = x^4-60x^3+1100x^2-6000x $$This page was created using
Polynomial From Roots Calculator