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"see explanation

Explanation:

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

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

rArr"factors are "(x+1)" and "x^2factors are (x+1) and x2

rArry=ax^2(x+1)larrcolor(blue)"a is multiplier"y=ax2(x+1)a is multiplier

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

2=a(1)(2)=2arArra=12=a(1)(2)=2aa=1

rArry=x^2(x+1)=x^3+x^2y=x2(x+1)=x3+x2
graph{x^3+x^2 [-10, 10, -5, 5]}