Answer:

Step-by-step explanation:
The given polynomial equation is

We perform the synthetic division as shown in the attachment by dividing by x-2.
This gives a remainder of 0 and a quotient of

This means the polynomial equation becomes:

We factor the quadratic term by splitting the middle term;


Collect common factors again:

The solution is:

It's really important that you aim to understand how to do these problems yourself, rather than "pay" others to do them for you. Why not ask for "directions" or "guidance," instead of for "answers?"
This is a tricky question because it's not required that you have the full 12 beads on the string in every case. You could, for example, have 6 beads, 2 of which would be red, making the ratio of red beads 2 to 6, or 1 to 3.
What about 3 red beads in 9?
What about 1 red bead in 3?
Do these "answers" satisfy the requirement that the ratio of red beads to all beads is 1:3?
Hello! And thank you for your question!
Use Pemdas to get
3^(n+2)*4=3^28
Rewrite the equation:
3^4(n+2) = 3^28
Cancel the base of 3:
4(n + 2) = 28
Then divide 4 on both sides:
2 + n = 28/4
Simplify 28/4:
2 + n = 7
Subtract 2 on both sides:
n = 7 - 2
Finally simplify 7 - 2:
n = 5
Final Answer:
n = 5