Mathematics

If (x - a) is a factor of f(x) = ax2 + bx + c, then which of the following is true?

  1. f(a) = 2

  2. f(-a) = 0

  3. f(a) = a

  4. f(a) = 0

Factorisation

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Answer

By factor theorem,

If (x - a) is a factor of f(x), then f(a) = 0.

Hence, option 4 is the correct option.

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