Question

Factor the expression completely.
1/4x+15/4
A.1/2(1/2x+15/4)
B.1/4(x+7/2)
C.1/4(x+15)
D.3/4(x+3

Answer 1

To factor the expression \( \frac{1}{4}x + \frac{15}{4} \) completely, we can start by factoring out the common factor from the two terms.

Both terms share a common factor of \( \frac{1}{4} \). We can factor this out:

\[
\frac{1}{4}(x + 15)
\]

Now we can look for the options given:

A. \( \frac{1}{2}( \frac{1}{2}x + \frac{15}{4}) \)

B. \( \frac{1}{4}(x + \frac{7}{2}) \)

C. \( \frac{1}{4}(x + 15) \)

D. \( \frac{3}{4}(x + 3) \)

The factored expression we found is:

\[
\frac{1}{4}(x + 15)
\]

Thus, the correct choice is:

**C. \(\frac{1}{4}(x + 15)\)**.