ok x-1 is a factor
so by long divided I do not know what you call it you have
the right side is (2x+1)(x-1)so
so you have repeated factor
There's this question that baffles me.
Determine whether 2x³ - 3x² + 1 has a repeated factor. If so, find the repeated factor.
I used P(1) and found out that 2x³ - 3x² + 1 = 0 when I substitute the 1 into x. Hence, I know that x - 1 is a factor of 2x³ - 3x² + 1. But how do I know whether x - 1 is a repeated factor or not?
Oh, thank you! So I have factorise the quotient and see if one of the factor matches or not? But if I found 2 other factors since this is a cubic equation, does that mean I have to do 3 long divisions in order to see which one is a repeated factor? Or...are there any other less time-consuming way to find out the repeated factor? Thanks!
You don't need to do long division. Just do synthetic division. For some examples as to how synthetic division works you could look at this thread:
http://www.mathhelpforum.com/math-he...step-step.html
01
Differentiating polynomials? Yea, I know differentiation and am wondering if it is much different that what I know. If you don't mind, can you please perform the example using this question:There is one easy method, if you know differentiation. A root of a polynomial is a repeated root if it is also a zero of the differentiated polynomial.
Determine whether 2x³ - 3x² + 1 has a repeated factor. If so, find the repeated factor.
Thank you very much!