Question
Find the polynomial having roots at $ -\dfrac{ 21 }{ 8 } $ and $ \dfrac{ 5 }{ 8 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 64x^2+128x-105 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -\dfrac{ 21 }{ 8 } $ | $ 8x+21 $ |
| $ \dfrac{ 5 }{ 8 } $ | $ 8x-5 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 8x+21 \right) \cdot \left( 8x-5 \right) = 64x^2+128x-105 $$This page was created using
Polynomial From Roots Calculator