Question: What is the factored form of the quadratic equation x^2 - 5x + 6?
Options:
(x - 2)(x - 3)
(x + 2)(x + 3)
(x - 1)(x - 6)
(x + 1)(x + 6)
Correct Answer: (x - 2)(x - 3)
Solution:
Step 1: Find two numbers that multiply to 6 and add to -5: -2 and -3. Step 2: Write the factors: (x - 2)(x - 3).
What is the factored form of the quadratic equation x^2 - 5x + 6?
Practice Questions
Q1
What is the factored form of the quadratic equation x^2 - 5x + 6?
(x - 2)(x - 3)
(x + 2)(x + 3)
(x - 1)(x - 6)
(x + 1)(x + 6)
Questions & Step-by-Step Solutions
What is the factored form of the quadratic equation x^2 - 5x + 6?
Step 1: Look at the quadratic equation x^2 - 5x + 6. We need to find two numbers that multiply to the last number (6) and add up to the middle number (-5).
Step 2: The two numbers that work are -2 and -3 because -2 * -3 = 6 and -2 + -3 = -5.
Step 3: Now, we can write the factors using these two numbers. The factors are (x - 2) and (x - 3).
Step 4: So, the factored form of the quadratic equation x^2 - 5x + 6 is (x - 2)(x - 3).
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