Question

Select the correct answer from given alternatives

If f(x) = 2x² + bx + c and f(0) = 3 and f(2) = 1, then f(1) is equal to

Options

• –2

• 0

• 1

• 2

Answer 1

0

Explanation;

f(x) = 2x² + bx + c

f(0) = 3

∴ 2(0) + b(0) + c = 3

∴ c = 3     ....(i)

f(2) = 1

∴ 2(4) + 2b + c = 1

∴ 2b + c = –7

∴ 2b + 3 = – 7   ...[From (i)]

∴ b = – 5

∴ f(x) = 2x² – 5x + 3

∴ f(1) = 2(1) – 5(1) + 3 = 0