Question

Determine an equation for the pictured graph. Write your answer in factored form and assume the leading

coefficient is plus or minus 1.

Answer 1

`p(x) = (x + 2)^(2) (x - 1)`

Explanation:

this is a cubic equation, positive leading coefficient.

the roots are (x+2) and (x-1). also, here there are only two x-intercepts so one is a double root. there is a turning in x=-2 so that's the double root.

so, our cubic is p(x)=(x+2)^2(x-1).