SOLUTION: Given the function y = ( x+3 ) ( x^2+3 x−3 ) find the coordinates of the points of intersection with the x-axis and y-axis. Please enter your answer as a set of coordi

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Question 993481: Given the function
y = ( x+3 ) ( x^2+3 x−3 )
find the coordinates of the points of intersection with the x-axis and y-axis.
Please enter your answer as a set of coordinate pairs, where a single coordinate pair (a, b)
constants should all be given exactly, using the sqrt function and fractions as necessary
THANK YOU

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

intersection with the x-axis occurs where
and
intersection with the y-axis occurs where
so set and find intersection with the x-axis
...will be true for or , or both
if =>
...use quadratic formula




solutions: exact solutions

or

approximate solutions:




or





so, ordered pairs are:
(,)
(,)
(,)
or
(,)
(,)
(,)

now find y-intercept:

the y-axis occurs where , so set



ordered pair is:
(,)

see it on the graph:


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