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
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]}