AP EAMCET202120 Aug 2021Evening ShiftMathematicsQuadratic EquationActual

If f ( 10 - x ) = 3 x 2 + 4 x - 5 and f ( x ) = p x 2 + q x + r then p + q + r =

Options

A272
B274
C275
D273

Correct answer

B. 274

Step-by-step solution

Given: f 10 - x = 3 x 2 + 4 x - 5 f x = p x 2 + q x + r p + q + r = f 1 p + q + r = f 10 - 9 ⇒   p + q + r = 3 × 9 2 + 4 × 9 - 5 ⇒   p + q + r = 243 + 36 - 5 ⇒   p + q + r = 274

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