Question
Find the polynomial having roots at $ 151 $ , $ 2 $ , $ 6 $ , $ -7 $ and $ -8 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^5-144x^4-1109x^3+7584x^2+41140x-101472 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 151 $ | $ x-151 $ |
| $ 2 $ | $ x-2 $ |
| $ 6 $ | $ x-6 $ |
| $ -7 $ | $ x+7 $ |
| $ -8 $ | $ x+8 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-151 \right) \cdot \left( x-2 \right) \cdot \left( x-6 \right) \cdot \left( x+7 \right) \cdot \left( x+8 \right) = x^5-144x^4-1109x^3+7584x^2+41140x-101472 $$This page was created using
Polynomial From Roots Calculator