Question
Find the polynomial having roots at $ 8 $ , $ 10 $ , $ -3 $ and $ -5 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4-10x^3-49x^2+370x+1200 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 8 $ | $ x-8 $ |
| $ 10 $ | $ x-10 $ |
| $ -3 $ | $ x+3 $ |
| $ -5 $ | $ x+5 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-8 \right) \cdot \left( x-10 \right) \cdot \left( x+3 \right) \cdot \left( x+5 \right) = x^4-10x^3-49x^2+370x+1200 $$This page was created using
Polynomial From Roots Calculator