Find a polynomial of degree #3# that has zeros, #1#, #-2#, and #3#, and in which the coefficient of #x^2# is #3#?
1 Answer
Feb 2, 2018
Explanation:
Each zero
So we can write a monic cubic polynomial with the required zeros by multiplying as follows:
#(x-1)(x+2)(x-3) = x^3-2x^2-5x+6#
Then to make the coefficient of
#f(x) = -3/2x^3+3x^2+15/2x-9#