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PS · Problem Solving

605-655

Algebra

If $f(x) = x^2 + 11x + n$ and $g(x) = x$ , then what is the value of the largest positive integer n for which [m]f(x) = g(x)[m] has two distinct real roots?

Answer Choices

Correct answer marked below

A

22

B

23

24

Correct

D

25

E

26

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If $f(x) = x^2 + 11x + n$ and $g(x) = x$ , then what is the value of the largest positive integer n for which [m]f(x) = g(x)[m] has two distinct real roots?

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If f(x)=x2+11x+nf(x) = x^2 + 11x + nf(x)=x2+11x+n and g(x)=xg(x) = xg(x)=x, then what is the value of the largest positive integer n for which [m]f(x) = g(x)[m] has two distinct real roots?

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Official Explanation

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What it tests

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If $f(x) = x^2 + 11x + n$ and $g(x) = x$ , then what is the value of the largest positive integer n for which [m]f(x) = g(x)[m] has two distinct real roots?