4x^8-49x^7+188x^6-188^5-328x^4+523^3+76x^2-286x+60?

Question

find the zeros

Answer 1

You left out x on a couple of your terms but I assume you meant to put an x for x^5 and x^3. Also since you didn't put in any spaces part of your question gets hidden until you hover over it. For others that might want the full equation, I assume you meant:

f(x) = 4x^8 - 49x^7 + 188x^6 - 188x^5 - 328x^4 + 523x^3 + 76x^2 - 286x + 60

Factors will have to be factors of 60 divided by factors of 4. By graphing it appears x = 1 is one solution.
Sure enough f(1) = 0.

And x = -1 is another solution:
f(-1) = 0

Also x = 6 is another:
f(6) = 0

Finally x = 0.25 is another:
f(1/4) = 0

Since f(1) and f(-1) just touch at the axis, these are double roots.

If you want to see what remains, use synthetic division with:
(x - 1)(x - 1)(x + 1)(x + 1)(x - 6)(4x - 1)

Multiplying out you get:
4x^6 - 25x^5 - 2x^4 + 50x^3 - 8x^2 - 25x + 6

When you divide this into the original equation you get:
x^2 - 6x + 10

So the last roots are imaginary. Using the quadratic equation I get:

x = (6 ± sqrt(36 - 40)) / 2
x = (6 ± sqrt(-4)) / 2
x = 3 ± 2 sqrt(-1) / 2
x = 3 ± sqrt(-1)
x = 3 ± i

So the zeroes of the function are:
-1, 1/4, 1, 6, 3+i and 3-i

Answer 2

Do you advise "the Palestinian Territories" or the completed u . s . a . of Israel, consisting of the Negev desolate tract, the Galilee, Tel Aviv, Haifa, and so on. i think of quite much all the territories until eventually now 1967 will take transport of to the Palestinians. no longer all, yet possibly 95% Israel will revert lower back to this is 1967 bordors with some minor exceptions - like Jerusalem, which they (the Israelis) can not tolerate as a divided city lower back. i think an self reliant state of Palestine would be declared very quickly - interior the subsequent 5 years if no longer quicker. there will be 2 states, one Palestine and the different Israel. they'll ought to learn how to stay ingredient by using ingredient. i think Israel ought to pay some type of reparations to Palestinians who lost their residences, or harmless (non-combatant) kin interior the years of violence happening over there. i think the Palestinians ought to make a solemn pledge to quit all terrorists acts against Israel, and know the remarkable of Israel's existence.

Answer 3

p=constant
q= coefficient of highest variable

take all of the factors you can find for each and set them up as p/q (p over q) this will give you which numbers have a chance of being plugged into the equation to get the zeros. *the possible zeros. Then plug in each of those numbers to find if any of them work. Note: not all of them work. They are only possible zeros.....
good luck....

Answer 4

x=1,1, -1,-1,6, 1/4 and two imaginary values
i just graphed it and look for the zeros on the x-axis but you can also do synthetic division, which should also work

Answer 5

all i can conclude by looking at this is that this is a polynomial. Other than that, nothing is given and nothing is asked. What do you expect as do?

We aren't magicians here who have ability to guess the problem. BE SPECIFIC!

Answer 6

Use Graphmatica if u can.
And sorry.there's no zeroes for x.so i give u part of its point Equation(s):
y=4x^8-49x^7+188x^6-188^5-328x^4
x y
-7.0-----2.3476x10^11
-6.0-----2.3482x10^11
-5.0-----2.3484x10^11
-4.0-----2.3485x10^11
-3.0-----2.3485x10^11
-2.0-----2.3485x10^11
-1.0-----2.3485x10^11
0--------2.3485x10^11
1.0------2.3485x10^11
2.0------2.3485x10^11
3.0------2.3485x10^11
4.0------2.3485x10^11
5.0------2.3485x10^11
6.0------2.3485x10^11
7.0------2.3485x10^11
.

Answer 7

Depends on the value of x

Answer 8

the answer is... 42

Answer 9

e=mc2

Answer 10

.... what? please say the whole problem so I can answer it there has to be an equal sign or thats your final answer.