Remember that the terms of a polynomial are the parts of the polynomial separating by addition and subtraction; in other words, the parts separated by (+) and (-) signs. Knowing this, we can separate the terms of our polynomial:
- First term:
- Second term:
- Third term:
- Fourth term:
- Fifth term:
We can conclude that there are
5 terms in the polynomial
.
There's 16 hours from 11 am to 3 am
16 times .75= 12 hours
11 am add 12 hours is 12 am midnight
Answer:
Approximately 2 months
Step-by-step explanation:
Tricia: f(d) = 5.15m + 10.25
Melanie: f(d) = 10.25m
f(d) is the total savings altogether
m is the amount of months
5.15(2) + 10.25 = 20.55
10.25(2) = 20.50
They will have the same amount of savings in approximately 2 months
1.990291 is the actual time (in months) they will be the same
.10x + .05y = 4.50
x + y = 30
Is the formula
Answer:
Step-by-step explanation:
If we divide 24 by 6, we get 4, which is the other factor of 24 when given the one factor of 6. Same goes here. In order to find out what the other factor of 
is when given one factor of y - 4, we simply divide the second degree polynomial by y - 4 to get the quotient. The quotient, then, is the other factor. Synthetic division is the easiest way to do this.
If y - 4 is the factor, then by the Zero Product Property, y - 4 = 0 and y = 4. Setting up synthetic division:
4| 1 -10 24
____________
The rule is to start by bringing down the first term, multiplying it by the number outside, then putting that product up under the next term in line:
4| 1 -10 24
<u> 4 </u>
1
Then add the column, multiply the sum by the number outside, and put that product up under the next term in line:
4| 1 -10 24
<u> 4 -24</u>
1 -6
And add the last column and that is the remainder. We get a 0 remainder. That means that y - 4 goes evenly into the polynomial and the other factor we are looking for is found in the numbers under the addition line. These numbers are the leading coefficients of the depressed polynomial, the polynomial that serves as the other factor: 1y - 6.
Therefore, the 2 factors that multiply together to give us are (y - 4)(y - 6) and we can check ourselves by multiplying this out by FOILing to see if the result is the polynomial we started with. It is, so we're all done!
