Question
Find the polynomial having roots at $ -5 $ , $ -7 $ , $ -9 $ and $ -11 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4+32x^3+374x^2+1888x+3465 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ -5 $ | $ x+5 $ |
| $ -7 $ | $ x+7 $ |
| $ -9 $ | $ x+9 $ |
| $ -11 $ | $ x+11 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x+5 \right) \cdot \left( x+7 \right) \cdot \left( x+9 \right) \cdot \left( x+11 \right) = x^4+32x^3+374x^2+1888x+3465 $$This page was created using
Polynomial From Roots Calculator