Question: f(x) = 12x 3 + 5x 2 + 2x 1 a. Show that (4x 1) is a factor of f(x) and write f(x)

f(x) = 12x3 + 5x2 + 2x – 1

a. Show that (4x – 1) is a factor of f(x) and write f(x) in the form (4x – 1)(ax2 + bx + c).

b. Hence, show that the equation 12x3 + 5x2 + 2x – 1 = 0 has exactly 1 real solution.

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a To show that 4x 1 is a factor of fx we need to prove that fx 4x 1ax2 bx c for some values of a b ... View full answer

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