Question
Find the polynomial having roots at $ \dfrac{ 98 }{ 5 } $ , $ 3 $ , $ -6 $ and $ 48 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 5x^4-323x^3+3600x^2+20196x-84672 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 98 }{ 5 } $ | $ 5x-98 $ |
| $ 3 $ | $ x-3 $ |
| $ -6 $ | $ x+6 $ |
| $ 48 $ | $ x-48 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 5x-98 \right) \cdot \left( x-3 \right) \cdot \left( x+6 \right) \cdot \left( x-48 \right) = 5x^4-323x^3+3600x^2+20196x-84672 $$This page was created using
Polynomial From Roots Calculator