Find the polynomial having roots at $ -3 $ , $ \dfrac{ 235 }{ 452 } $ and $ 5 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 452x^3-1139x^2-6310x+3525 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -3 $ | $ x+3 $ |
| $ \dfrac{ 235 }{ 452 } $ | $ 452x-235 $ |
| $ 5 $ | $ x-5 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+3 \right) \cdot \left( 452x-235 \right) \cdot \left( x-5 \right) = 452x^3-1139x^2-6310x+3525 $$This page was created using
Polynomial From Roots Calculator