Question
Find the polynomial having roots at $ 0 $ and $ -\dfrac{ 3 }{ 7 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 7x^2+3x $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 0 $ | $ x $ |
| $ -\dfrac{ 3 }{ 7 } $ | $ 7x+3 $ |
Step 2: Multiply the factors together:
$$ P(x) = x \cdot \left( 7x+3 \right) = 7x^2+3x $$This page was created using
Polynomial From Roots Calculator