The problem that I have is I need help with following
I need to find the all roots for the following:
y= x to the fifth minus x to the fourth minus 2x cubed
I had two choices:
to subtract x to the 4th from x to the 5th , and get x-2x cubed.
or other choice I had is to distrubite to get x cubed and in parathesis xsquared minus x minus 2.
Please help solve this problem, because I am doing something way wrong.
Thank you so much toeveryone who responds. Thank you x 10000000000
Happy Holidays
I need to find the all roots for the following:
y= x to the fifth minus x to the fourth minus 2x cubed
I had two choices:
to subtract x to the 4th from x to the 5th , and get x-2x cubed.
or other choice I had is to distrubite to get x cubed and in parathesis xsquared minus x minus 2.
Please help solve this problem, because I am doing something way wrong.
Thank you so much toeveryone who responds. Thank you x 10000000000
Happy Holidays
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y = x^5 - x^4 - 2x^3
since they all have at least x^3 in them, lets factor them out and see what we get.
y = x^3(x^2 - x - 2)
Now x^2 - x - 2 looks much easier to factor eh?
y = x^3(x^2 - 2x + x - 2)
y = x^3(x(x - 2) + (x - 2))
y = x^3(x + 1)(x - 2)
Thus, when you equate that nice factored form to zero:
x^3(x + 1)(x - 2) = 0
x^3 = 0
x = 0
OR
x + 1 = 0
x = -1
OR
x - 2 = 0
x = 2
Thus, x = -1, 0, 2
Hope this helps :D
since they all have at least x^3 in them, lets factor them out and see what we get.
y = x^3(x^2 - x - 2)
Now x^2 - x - 2 looks much easier to factor eh?
y = x^3(x^2 - 2x + x - 2)
y = x^3(x(x - 2) + (x - 2))
y = x^3(x + 1)(x - 2)
Thus, when you equate that nice factored form to zero:
x^3(x + 1)(x - 2) = 0
x^3 = 0
x = 0
OR
x + 1 = 0
x = -1
OR
x - 2 = 0
x = 2
Thus, x = -1, 0, 2
Hope this helps :D