Question
y = bx(x- a)(x - a)(x + b)(x- b)
In the equation above, a and b are positive constants and . How many distinct x-intercepts does the graph of the equation in the xy-plane have?
- Two
- Three
- Four
- Five
The correct answer is: Four
x -intercept is the value of x when y = 0
bx (x - a)(x – a) (x + b)(x - b) = 0
the highest power of x will be 5, but the root (x-a) is repeating thrice, so the x-intercepts are 4
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