Question
Find the polynomial having roots at $ -\dfrac{ 6 }{ 7 } $ and $ 22 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 7x^2-148x-132 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -\dfrac{ 6 }{ 7 } $ | $ 7x+6 $ |
| $ 22 $ | $ x-22 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 7x+6 \right) \cdot \left( x-22 \right) = 7x^2-148x-132 $$This page was created using
Polynomial From Roots Calculator