Question
Find the polynomial having roots at $ 1 $ and $ -\dfrac{ 9 }{ 16 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 16x^2-7x-9 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 1 $ | $ x-1 $ |
| $ -\dfrac{ 9 }{ 16 } $ | $ 16x+9 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-1 \right) \cdot \left( 16x+9 \right) = 16x^2-7x-9 $$This page was created using
Polynomial From Roots Calculator