Exam

GRE

Section

Difficulty

GRE Quantitative Reasoning Section

Finding Real Roots of Derivative of a Polynomial

Very Hard Algebra Expressions, Equations, And Inequalities

Consider the polynomial expression given by:

$$P(x) = x^3 - 6x^2 + 9x + 10$$

Let $$Q(x)$$ represent the derivative of $$P(x)$$. What are the real roots of the equation $$Q(x) = 0$$?

A

$$x = 2, 3$$

B

$$x = 1, 4$$

C

$$x = 2, 5$$

D

$$x = 1, 3$$

Hint

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