Find the polynomial having roots at $ 9 $ , $ -8 $ , $ 1 $ and $ -2 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4-75x^2-70x+144 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 9 $ | $ x-9 $ |
| $ -8 $ | $ x+8 $ |
| $ 1 $ | $ x-1 $ |
| $ -2 $ | $ x+2 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-9 \right) \cdot \left( x+8 \right) \cdot \left( x-1 \right) \cdot \left( x+2 \right) = x^4-75x^2-70x+144 $$This page was created using
Polynomial From Roots Calculator