The function is defined by f(x)= 2xcube + 7xsquare+7x+2, find the linear factors of f(x) and sketch the curve of fx
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The function,
1. The linear factors of f(x)
2. The graph of f(x).
Given function is
can be regrouped as
We know,
So, using this identity, we get
On taking ( x + 1 ) common, we get
Hence,
To sketch the graph of f(x).
Let assume that
Point of intersection with x - axis.
On x - axis, y = 0
Hence, Point of intersection with x- axis are
Point of intersection with y - axis
On y - axis, x = 0
So, point of intersection with y axis is ( 0, 2 ).
➢ Now draw a graph using the points
➢ See the attachment graph.
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