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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