Find the polynomial having roots at $ -3 $ , $ -6 $ , $ -4 $ and $ -2 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4+15x^3+80x^2+180x+144 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -3 $ | $ x+3 $ |
| $ -6 $ | $ x+6 $ |
| $ -4 $ | $ x+4 $ |
| $ -2 $ | $ x+2 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+3 \right) \cdot \left( x+6 \right) \cdot \left( x+4 \right) \cdot \left( x+2 \right) = x^4+15x^3+80x^2+180x+144 $$This page was created using
Polynomial From Roots Calculator