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Explain how to write x^2+5x+6 as the product of two linear factors. Use complete English and math sentences.

Sagot :

Answer:

(x + 3)(x + 2)

Step-by-step explanation:

Given

x² + 5x + 6

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)

The factors are + 3 and + 2 , since

3 × 2 = + 6 and + 3 + 2 = + 5 , then

x² + 5x + 6 = (x + 3)(x + 2) ← in factored form

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