Question

question
factor.
$x^2 + 5x + 4$
answer attempt 1 out of 5

Explanation:

Step1: Find two numbers that multiply to 4 and add to 5.

The numbers are 1 and 4, since \(1\times4 = 4\) and \(1 + 4=5\).

Step2: Rewrite the middle term using these numbers.

\(x^{2}+x + 4x+4\)

Step3: Group the terms.

\((x^{2}+x)+(4x + 4)\)

Step4: Factor out the GCF from each group.

\(x(x + 1)+4(x + 1)\)

Step5: Factor out the common binomial factor.

\((x + 1)(x + 4)\)

Answer:

\((x + 1)(x + 4)\)