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Rewrite x2 + 5x + 6 as an equivalent expression in factored form and then factorize it using grouping and the distributive property.

Mathematics

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3.1.3 Rewrite as an equivalent expression in the form.
From the previous steps, the trinomial is x2+5x+6x^2 + 5x + 6, and the two integers are 2 and 3. To rewrite this as an equivalent expression in factored form, we use these integers:

x2+5x+6=(x+2)(x+3)x^2 + 5x + 6 = \boxed{(x + 2)(x + 3)}

3.1.4 Use the knowledge obtained from activity 2 on grouping and the distributive property to factorize the expression.
The expression to factorize is x2+5x+6x^2 + 5x + 6.

Step 1: Rewrite the middle term, 5x5x, using the two integers 2 and 3.

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