Question
Find the polynomial having roots at $ \dfrac{ 305 }{ 23 } $ , $ \dfrac{ 470 }{ 13 } $ and $ \dfrac{ 635 }{ 8 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 2392x^3-308065x^2+10528925x-91027250 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ \dfrac{ 305 }{ 23 } $ | $ 23x-305 $ |
| $ \dfrac{ 470 }{ 13 } $ | $ 13x-470 $ |
| $ \dfrac{ 635 }{ 8 } $ | $ 8x-635 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 23x-305 \right) \cdot \left( 13x-470 \right) \cdot \left( 8x-635 \right) = 2392x^3-308065x^2+10528925x-91027250 $$This page was created using
Polynomial From Roots Calculator