Answer:
(-1 , 0), (0, 0), (2, 0) and (3, 0)
Answer is the first graph
Step-by-step explanation:
zero function when f(x) = 0
x^4 - 4x^3 + x^2 + 6x = 0
x(x^3 - 4x^2 + x + 6) = 0
x(
x^2 - 2x^2 - 2x^2 + x + 6) = 0
x(
x^2 - 2x^2) - (2x^2 - x - 6) = 0
x [x^2(x - 2) - (x - 2)(2x + 3)] = 0
x (x - 2)(x^2 - 2x - 3) = 0
x (x - 2)(x - 3)(x + 1) = 0
x = 0
x - 2 = 0; x = 2
x - 3 = 0; x = 3
x + 1 = 0; x = -1
Solutions
(-1 , 0), (0, 0), (2, 0) and (3, 0)
Answer is the first graph
