Question
Find the polynomial having roots at $ -\dfrac{ 12 }{ 13 } $ and $ \dfrac{ 4 }{ 3 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 39x^2-16x-48 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -\dfrac{ 12 }{ 13 } $ | $ 13x+12 $ |
| $ \dfrac{ 4 }{ 3 } $ | $ 3x-4 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 13x+12 \right) \cdot \left( 3x-4 \right) = 39x^2-16x-48 $$This page was created using
Polynomial From Roots Calculator