Question
Find the polynomial having roots at $ -5 $ , $ 0 $ , $ 0 $ and $ -50 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4+55x^3+250x^2 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -5 $ | $ x+5 $ |
| $ 0 $ | $ x $ |
| $ 0 $ | $ x $ |
| $ -50 $ | $ x+50 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+5 \right) \cdot x \cdot x \cdot \left( x+50 \right) = x^4+55x^3+250x^2 $$This page was created using
Polynomial From Roots Calculator