Find the polynomial having roots at $ 8 $ , $ -7 $ and $ 2 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^3-3x^2-54x+112 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 8 $ | $ x-8 $ |
| $ -7 $ | $ x+7 $ |
| $ 2 $ | $ x-2 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-8 \right) \cdot \left( x+7 \right) \cdot \left( x-2 \right) = x^3-3x^2-54x+112 $$This page was created using
Polynomial From Roots Calculator