Question
Find the polynomial having roots at $ -\dfrac{ 2 }{ 3 } $ and $ -\dfrac{ 223 }{ 100 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 300x^2+869x+446 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -\dfrac{ 2 }{ 3 } $ | $ 3x+2 $ |
| $ -\dfrac{ 223 }{ 100 } $ | $ 100x+223 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 3x+2 \right) \cdot \left( 100x+223 \right) = 300x^2+869x+446 $$This page was created using
Polynomial From Roots Calculator