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Rewrite x2 + 5x + 6 as x2 + rx + sx + 6 and then factorize it.

May 25, 2026Mathematics

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Answer

x^2 + 2x + 3x + 6

(x + 2)(x + 3)

3 steps

here are the solutions to Activity 3:

3.1.3 Rewrite $x^2 + 5x + 6$ as an equivalent expression in the form $x^2 + rx + sx + 6$ .
Using $r=2$ and $s=3$ (from the previous steps):

x^2 + 2x + 3x + 6

The equivalent expression is $\boxed{x^2 + 2x + 3x + 6}$ .

3.1.4 Use the knowledge obtained from activity 2 on grouping and the distributive property to factorize the expression.

Group the terms of the rewritten expression.
$(x^2 + 2x) + (3x + 6)$
Factor out the common factor from each group.
$x(x + 2) + 3(x + 2)$
Factor out the common binomial factor $(x + 2)$ .
$(x + 2)(x + 3)$
The factored expression is $\boxed{(x + 2)(x + 3)}$ .

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