Write a polynomial function in standard form with zeros at 1, 2, and 3.
Accepted Solution
A:
The polynomial whose zeroes are 1, 2 and 3 is given by, (x-1)(x-2)(x-3) = 0 (x-1)[x²-3x-2x+6]=0 (x-1)[x²-5x+6]=0 x[x²-5x+6] -1[x²-5x+6]=0 x³-5x²+6x-x²+5x-6=0 x³-6x²+11x-6=0
Therefore, the required polynomial is, x³ - 6x² + 11x -6 = 0