Factorize: x^2 – 5x + 6
Answer: The factorization of x^2 – 5x + 6 is (x – 2)(x – 3).
Factorization
To factorize a quadratic equation, we look for two numbers that add up to the coefficient of the middle term (-5) and multiply to the last term (+6). The numbers -2 and -3 meet these conditions, so the factorization is (x – 2)(x – 3).
FAQ on Factorization
What is factorization?
Factorization is the process of breaking down an expression into a product of simpler expressions.
How do you factorize a quadratic expression?
To factorize a quadratic expression, find two numbers that add up to the coefficient of the middle term and multiply to the last term.
What is the zero-product property?
The zero-product property states that if the product of multiple factors is zero, then at least one of the factors must be zero.
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