saswata4s wrote:

For what value of x between -1 and 5 inclusive, is the value x^2 - 7x + 10 the smallest?

(A) -1

(B) 0

(C) 2

(D) 3

(E) 5

Let’s factor the given equation:

(x - 5)(x - 2)

We see that when x is 5 or 2, one of the factors will be 0; thus, the value of the expression is 0.

When x is -1 or 0, both factors will be negative, and thus the value of the expression is positive.

Finally, when x is 3, one factor is positive while the other is negative, and thus the value of the expression is negative.

We see, then, that the value of the expression is smallest when x = 3.

Answer: D

_________________

Jeffery Miller

Head of GMAT Instruction

GMAT Quant Self-Study Course

500+ lessons 3000+ practice problems 800+ HD solutions