College

Factor out the coefficient of the variable.

12. [tex]2b + 8[/tex]

13. [tex]\frac{1}{4}y + \frac{3}{8}[/tex]

14. [tex]1.7j - 3.4[/tex]

15. [tex]-5p + 20[/tex]

Answer :

Sure! Let's go through the detailed, step-by-step solutions for factoring out the coefficients of the variables in each problem:

12. Factor out the coefficient of the variable in [tex]\(2b + 8\)[/tex]:

- Look at the expression [tex]\(2b + 8\)[/tex].
- Notice that each term in the expression can be divided by 2.
- Factor out 2, the greatest common factor, from both terms.
- This results in: [tex]\(2(b + 4)\)[/tex].

13. Factor out the coefficient of the variable in [tex]\(\frac{1}{4}y + \frac{3}{8}\)[/tex]:

- Consider the expression [tex]\(\frac{1}{4}y + \frac{3}{8}\)[/tex].
- The smallest number both terms can be divided by is [tex]\(\frac{1}{8}\)[/tex].
- Factor out [tex]\(\frac{1}{8}\)[/tex].
- Rewriting the expression gives: [tex]\(\frac{1}{8}(2y + 3)\)[/tex].
- Note: The answer was simplified as approximately 0.375 from the calculations above.

14. Factor out the coefficient of the variable in [tex]\(1.7j - 3.4\)[/tex]:

- Look at the expression [tex]\(1.7j - 3.4\)[/tex].
- Notice that both terms can be divided by 1.7.
- Factor out the 1.7 from both terms.
- This results in: [tex]\(1.7(j - 2)\)[/tex].
- Note that 3.4 being factored out was represented as approximately 3.4(0.5).

15. Factor out the coefficient of the variable in [tex]\(-5p + 20\)[/tex]:

- Examine the expression [tex]\(-5p + 20\)[/tex].
- Each term can be divided by -5.
- Factor out -5.
- This results in: [tex]\(-5(p - 4)\)[/tex].

These steps detail the method used for factoring out the coefficients in the given expressions. If you have more questions or need further clarification, feel free to ask!