Adriyana wants to determine the difference quotient of p(x) = x3 + x.

She writes the following first few steps.

p(x + h)

= (x + h)3 + (x + h)

= x3 + 3x2h + 3xh2 + h3 + x + h

StartFraction p (x + h) minus p (x) Over h EndFraction = StartFraction (x cubed + 3 x squared h + 3 x h squared + h cubed + x + h) minus (x cubed + x) Over h EndFraction

What is the simplified expression for the difference quotient for all nonzero values of h?

3x2 + 3xh + h2
3x2 + 3xh + h2 + 1
3x2 + 3xh + h2 + h
3x2 + 3xh + h2 + 2x + 1

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