Which of the following is a requirement for a trinomial to be factored as a perfect square?

A.

The coefficient for the x term must be twice the square root of the first term.

B.

The coefficient for the x term must be twice the square root of the last term.

C.

The coefficient for the x term must be twice the product of the square roots of the first and last terms.

D.

The coefficient for the x term must be half the product of the square roots of the first and last terms.

1 Answer

  • Look at (x+b)^2 = x^2 + 2bx + b^2. The middle term is 2 times b times x which is 2 times square root of first term times square root of last term. So the answer is C.

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