Factorization of a Quadratic Expression

Very Hard Problem Solving Algebra

Let x be a real number. We want to determine if the expression $$x^2 - 4x + 4$$ can be factorized.

Statement (1): The value of the expression at x equals 0.

Statement (2): The graph of the expression opens upwards.

Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

Both statements (1) and (2) together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

Statements (1) and (2) together are not sufficient.

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% Correct78%