TS EAMCET · Maths · Quadratic Equation
If \(f(x)\) is a second degree polynomial such that \(f(x) \geq 0 \forall x \in \mathbb{R}, f(-3)=0\) and \(f(0)=18\) then \(f(3)=\)
- A \(36\)
- B \(72\)
- C \(144\)
- D \(288\)
Answer & Solution
Correct Answer
(B) \(72\)
Step-by-step Solution
Detailed explanation
\(f(x) = a(x+3)^2\) \(f(0) = a(0+3)^2 = 9a = 18 \Rightarrow a = 2\) \(f(x) = 2(x+3)^2\) \(f(3) = 2(3+3)^2 = 2(6)^2 = 2(36) = 72\)
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