<span>I note that this problem starts out with "Which is a factor of ... " This implies that you were given several answer choices. If that's the case, it's unfortunate that you haven't shared them.
I thought I'd try finding roots of this function using synthetic division. See below:
f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation. Thanks.
Possible zeros of this poly are factors of 35: plus or minus 1, plus or minus 5, plus or minus 7. Use synthetic division; determine whether or not there is a non-zero remainder in each case. If none of these work, form rational divisors from 35 and 6 and try them: 5/6, 7/6, 1/6, etc.
Provided that you have copied down the function
</span>f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35 properly, this approach will eventually turn up 1 or 2 zeros of this poly. Obviously it'd be much easier if you'd check out the possible answers given you with this problem.
By graphing this function, I found that the graph crosses the x-axis at 7/2. There is another root.
Using synth. div. to check whether or not 7/2 is a root:
___________________________
7/2 / 6 -21 -4 24 -35
21 0 -14 35
----------- ------------------------------
6 0 -4 10 0
Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial. Thus, (x-3.5), or (x-7/2), is a factor.
Answer:
25
Step-by-step explanation:
if you look at it, 250 is 1/4 of 1000 and 100 is 1/10 of 1000 so divide 250 by 10 and you get your answer.
54•2=108
36•1=36
108+36=144
14•6=84
144-88=$56
Answer is $56.00
Answer:
Step-by-step explanation:
We have been given a graph of the function f(x).
Now we need to use that graph to find the equation of the graph and match with the correct choice from the give choices:
We see that graph has end points in opposite direction then the degree of polynomial must be ODD.
Available degrees are 3 and 4. Degree 3 is odd so it is choice B or C.
Only satisfies the given points from graph.
Hence correct choice is .
This is actually a trick question if you were to take this question head on. Say for instance you are cutting all the pieces from the same sheet of metal, the equation would NOT be 8 times 5 equals 40 minutes, but rather 7 times 5 equals 35 minutes. this is because on the 7th cut, it takes that from 6 sheets of metal to 8 because you get 2 from that cut. Take for instence, a Hersheys candy bar. It is 3 bars thick, but it only takes 2 breaks to sever the 3 strips. So, that being said, sam will make 7 cuts and those 7 cuts will make a times of 35 minutes.
