Find the polynomial having roots at $ 7 $ , $ -6 $ , $ 8 $ and $ -9 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4-115x^2+30x+3024 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 7 $ | $ x-7 $ |
| $ -6 $ | $ x+6 $ |
| $ 8 $ | $ x-8 $ |
| $ -9 $ | $ x+9 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-7 \right) \cdot \left( x+6 \right) \cdot \left( x-8 \right) \cdot \left( x+9 \right) = x^4-115x^2+30x+3024 $$This page was created using
Polynomial From Roots Calculator