Using the Factor Theorem, it is found that the polynomial function is given by:
- , in which a is the leading coefficient.
<h3>Factor Theorem:
</h3>
- The Factor Theorem states that a polynomial function with roots is given by:
- In which a is the leading coefficient.
In this problem, we have that there is a:
- Zero at x = -2, hence .
- Zero at x = 5, hence .
- Zero at x = -3i, hence there also has to be a zero at it's conjugate x = 3i, hence .
Then, the function is:
To learn more about the Factor Theorem, you can take a look at brainly.com/question/24380382
Answer:
3+18=21
Step-by-step explanation:
first see the second number
let us assume as x & y
3+ (3×6)= 21
3+18=21
<span>-34-r=-7(8r-3)
- 34 - r = - 56r + 21
- r + 56r = 21 + 34
55r = 55
r = 55/55
r = 1</span>
Answer:
They are both the same at 3/4 of an hour
Step-by-step explanation:
We have a system of equations here. The first one is for Friday:
3A + 5B = 6, which says that 3 people at the number of hours for plan A plus 5 people at the number of hours for plan B equals 6 hours total.
The second equation is for Saturday:
9A + 7B = 12, which says that 9 people at the number of hours for plan A plus 7 people at th number of hours for plan B equals 12 hours total.
We can solve this easily using the addition/elimination method. Begin by multipying the first equation through by a -3 to eliminate the A's. That gives you a new first equation of:
-9A - 15B = -18
9A + 7B = 12
You can see that the A's are eliminated, and adding what remains leaves us with
-8B = -6 so
B = 3/4 hour
Now we can sub that back in for B in either one of our original equations to solve for A. I changed the 3/4 to .75 for ease of multiplying:
9A + 7(.75) = 12 and
9A + 5.25 = 12 and
9A = 6.75 so
A = .75 which is also 3/4 of an hour