Respuesta :

Complete Question:

Mr. Phen's monthly income can be represented by the expression 25 x + 120 where x is the number of hours worked. Factor the expression 25 x + 120.

Answer:

The factored expression for 25 x + 120 is 5(5 x+120).

Step-by-step explanation:

Given expression:

                            25 x + 120

Write the prime factorisation for the given equation ,

               [tex]25 x=5 \times 5 \times x[/tex]

               [tex]120=40 \times 3=4 \times 10 \times 3=2 \times 2 \times 2 \times 5 \times 3[/tex]

Mark the common factors from both, so that the G.C.F for that given as

The G.C.F of 25 x and 120 is 5

Therefore, the factored expression for 25 x + 120 is 5(5 x+120).