Question
Find the polynomial having roots at $ -26 $ , $ -10 $ , $ 3 $ and $ 26 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4+7x^3-706x^2-4732x+20280 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -26 $ | $ x+26 $ |
| $ -10 $ | $ x+10 $ |
| $ 3 $ | $ x-3 $ |
| $ 26 $ | $ x-26 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+26 \right) \cdot \left( x+10 \right) \cdot \left( x-3 \right) \cdot \left( x-26 \right) = x^4+7x^3-706x^2-4732x+20280 $$This page was created using
Polynomial From Roots Calculator