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CGP EDU Academic Team
Published on: August 13, 2026
f(x) is polynomial of degree 5 with leading coefficient = 1, f(d) = 0. If the curve y = |f(x)| and y = f(|x|) are same, then the value of f(5) is
Text Solution
Verified by ExpertsThe correct answer is:
A
Because |f(x)| ≥ 0 and graph of f(|x|) and |f(x)| is same so f(|x|) ≥ 0 ∀ x ≥ 0
and 4 is repeated root of f|x| = 0. Hence – 4 is also repeated root
f(x) = x (x – 4) 2 (x + 4) 2
f(5) = 405
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