How to determine the rule of a cubic?

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Can someone please explain to me how to do question c? Thanks!

1 Answer
Jim G.
Dec 15, 2017

#"see explanation"#

Explanation:

#"the graph has zeros at "x=-1" and "x=0#

#x=-1" multiplicity 1 and " x=0 " multiplicity 2"#

#rArr"factors are "(x+1)" and "x^2#

#rArry=ax^2(x+1)larrcolor(blue)"a is multiplier"#

#"to find a substitute "(1,2)" into the equation"#

#2=a(1)(2)=2arArra=1#

#rArry=x^2(x+1)=x^3+x^2#
graph{x^3+x^2 [-10, 10, -5, 5]}

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