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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
At which root does the graph of f(x) = (x - 5)3(x + 2)2 touch the x axis?
-5, -2, 2, 5
Solution:
Given: Function f(x) is (x - 5)3(x + 2)2
If a curve touches the x-axis then f(x) = 0
⇒ (x - 5)3(x + 2)2 = 0.
But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.
⇒ (x - 5)3 = 0 and (x + 2)2 = 0
⇒ (x - 5) = 0 and x + 2 = 0
⇒ x = 5 and x = - 2.
These points can be verified from the below graph.
At which root does the graph of f(x) = (x - 5)3(x + 2)2 touch the x axis?
Summary:
The root of the graph of f(x) = (x - 5)3(x + 2)2 touches the x axis at -2 and 5.