mathdad
Full Member
- Joined
- Apr 24, 2015
- Messages
- 737
Construct a polynomial function given a graph that crosses the x-axis at x = -1, x = 1, and x = 2 and crosses the y-axis at the point
(0, 1).
Note: The answer given is
f(x) = -(1/2)(x + 1)(x - 1)^2(x - 2).
Questions:
A. Where did -1/2 come from?
B. Where did the power of 2 for the factor
(x - 1)^2 come from?
C. Can I use f(x) = a(x - r)(x - r)(x - r)(x - r) to construct the polynomial function given here as the answer?
D. The degree for the expanded form of this function is 4. Yes?
(0, 1).
Note: The answer given is
f(x) = -(1/2)(x + 1)(x - 1)^2(x - 2).
Questions:
A. Where did -1/2 come from?
B. Where did the power of 2 for the factor
(x - 1)^2 come from?
C. Can I use f(x) = a(x - r)(x - r)(x - r)(x - r) to construct the polynomial function given here as the answer?
D. The degree for the expanded form of this function is 4. Yes?