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Answer:

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Step-by-step explanation:

x² - 7x + 12

This question can be solved by splitting its middle term such that sum of two numbers be 7 and their products be 12.

Such two numbers are 3 and 4. Their sum is 7 and product is 12

x² - 7x + 12

⇒ x² - 3x - 4x + 12

⇒ x ( x - 3 ) - 4 ( x - 3 )

⇒ ( x - 3 ) ( x - 4 )

Hence, the answer is found.

The factored form of the expression is (x-3)(x-4)

Factorizing quadratic expression

Given the quadratic equation

x^2 - 7x + 12

On factorizing, we will have:

x^2 - 4x - 3x + 12

x(x-4) - 3(x - 4)

(x-3)(x-4)

Hence the factored form of the expression is (x-3)(x-4)

Learn more on factorization here: https://brainly.com/question/25829061