Question
Find the polynomial having roots at $ -\dfrac{ 2 }{ 3 } $ and $ -\dfrac{ 5 }{ 7 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 21x^2+29x+10 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -\dfrac{ 2 }{ 3 } $ | $ 3x+2 $ |
| $ -\dfrac{ 5 }{ 7 } $ | $ 7x+5 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 3x+2 \right) \cdot \left( 7x+5 \right) = 21x^2+29x+10 $$This page was created using
Polynomial From Roots Calculator