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In the standard (x, y) coordinate plane, how many times does the graph of (x + 1)(x - 2)(x + 3)(x + 4) intersect the x-axis?
- a)1
- b)4
- c)6
- d)10
- e)24
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In the standard (x, y) coordinate plane, how many times does the graph...
A line, parabola, and so on will intersect the x-axis when y = 0. Therefore, you can set each of the elements given in the question to 0 and solve for x, as follows:
(x + 1) = 0, x = −1
(x − 2) = 0, x = 2
(x + 3) = 0, x = −3
(x + 4) = 0, x = −4
The graph will cross the x-axis at −1, 2, −3,
(x + 1) = 0, x = −1
(x − 2) = 0, x = 2
(x + 3) = 0, x = −3
(x + 4) = 0, x = −4
The graph will cross the x-axis at −1, 2, −3,
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