Question
Find the polynomial having roots at $ -\dfrac{ 5 }{ 4 } $ , $ \dfrac{ 7 }{ 10 } $ and $ \dfrac{ 16 }{ 5 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 200x^3-530x^2-527x+560 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -\dfrac{ 5 }{ 4 } $ | $ 4x+5 $ |
| $ \dfrac{ 7 }{ 10 } $ | $ 10x-7 $ |
| $ \dfrac{ 16 }{ 5 } $ | $ 5x-16 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( 4x+5 \right) \cdot \left( 10x-7 \right) \cdot \left( 5x-16 \right) = 200x^3-530x^2-527x+560 $$This page was created using
Polynomial From Roots Calculator