Algebra Practice Test 2025 – The Complete Guide to Mastering Your Exam Success!

Question: 1 / 400

Which of the following is a factor of the polynomial x² - 5x + 6?

x - 2

To determine if a given expression is a factor of the polynomial \( x^2 - 5x + 6 \), we can use the factorization approach. This polynomial is a quadratic, and we are looking for two binomials that multiply to this expression.

The polynomial \( x^2 - 5x + 6 \) can be factored by finding two numbers that multiply to 6 (the constant term) and add up to -5 (the coefficient of the \( x \) term). The numbers -2 and -3 meet these criteria because:

- \((-2) \cdot (-3) = 6\)

- \((-2) + (-3) = -5\)

Thus, we can express the quadratic polynomial as:

\[ (x - 2)(x - 3) \]

From this factorization, we can see that \( x - 2 \) and \( x - 3 \) are the factors of the polynomial.

Now, when identifying if \( x - 2 \) is indeed a factor, we can see that it is present in the factorization. This confirms that it divides the polynomial evenly.

Although \( x - 3 \) is also a

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x - 3

x + 2

x + 3

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