Find the polynomial having roots at $ 51 $ , $ 7 $ , $ 5 $ and $ -\dfrac{ 23 }{ 10 } $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = 10x^4-607x^3+5021x^2-2969x-41055 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 51 $ | $ x-51 $ |
| $ 7 $ | $ x-7 $ |
| $ 5 $ | $ x-5 $ |
| $ -\dfrac{ 23 }{ 10 } $ | $ 10x+23 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-51 \right) \cdot \left( x-7 \right) \cdot \left( x-5 \right) \cdot \left( 10x+23 \right) = 10x^4-607x^3+5021x^2-2969x-41055 $$This page was created using
Polynomial From Roots Calculator