Find the polynomial having roots at $ 203 $ , $ 182 $ , $ 719 $ and $ 720 $ .
Answer
The polynomial generated from the given zeros is: $ P(x) = x^4-1824x^3+1108641x^2-252472094x+19126205280 $
Explanation
Step 1: Turn the zeros into factors:
| Zero | Factor |
| $ 203 $ | $ x-203 $ |
| $ 182 $ | $ x-182 $ |
| $ 719 $ | $ x-719 $ |
| $ 720 $ | $ x-720 $ |
Step 2: Multiply the factors together:
$$ P(x) = \left( x-203 \right) \cdot \left( x-182 \right) \cdot \left( x-719 \right) \cdot \left( x-720 \right) = x^4-1824x^3+1108641x^2-252472094x+19126205280 $$This page was created using
Polynomial From Roots Calculator