To factor x^2 - 5x + 6, we look for two numbers that multiply to 6 and add to -5. The numbers -2 and -3 work. Thus, the factorization is (x - 2)(x - 3).
Factor the polynomial x^2 - 5x + 6.
Practice Questions
Q1
Factor the polynomial 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
Factor the polynomial x^2 - 5x + 6.
Step 1: Identify the polynomial you want to factor, which is x^2 - 5x + 6.
Step 2: Look for two numbers that multiply to the constant term (6) and add to the coefficient of the x term (-5).
Step 3: The two numbers that work are -2 and -3 because -2 * -3 = 6 and -2 + -3 = -5.
Step 4: Write the factors using the two numbers found: (x - 2) and (x - 3).
Step 5: Combine the factors to get the final factored form: (x - 2)(x - 3).
Factoring Quadratic Polynomials – The process of rewriting a quadratic expression in the form ax^2 + bx + c as a product of two binomials.
Finding Roots – Identifying two numbers that multiply to the constant term and add to the linear coefficient.
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