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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