How do you find the independent of x in an expansion?
How do you find the independent of x in an expansion?
Complete step by step solution: Let (r+1) be the term independent of x. Here, we are looking for a term which is independent of x, so the power of x must be 0. Now when we know that ${(r + 1)^{th}}$ term is independent and we have also calculated the value of r, then the term independent of x will be (r+1) = 2+1= 3.
Why there is no term independent of x in the binomial expansion?
Compare the x terms and equate it to x to the power of zero which is the term independent of x. Since the value of r is a fraction, there is no term in the expansion the has the coefficient of x0 (independent of x). Note: In any binomial expansion, the r value starts from 0 followed by 1,2,3… .
What does the Independent of X mean?
The term independent of x means the term which does not contain the term/variable X. In binomial theorem these questions are usually asked like to find the term independed of x after expansion , which means to find the term which does not contain the term x and contains other terms than x ..
How do you find the independent and dependent variables?
How can you Identify Independent and Dependent Variables? The easiest way to identify which variable in your experiment is the Independent Variable (IV) and which one is the Dependent Variable (DV) is by putting both the variables in the sentence below in a way that makes sense. “The IV causes a change in the DV.
How do you find the independent variable in a research article?
The independent variable (IV) is the characteristic of a psychology experiment that is manipulated or changed by researchers, not by other variables in the experiment. For example, in an experiment looking at the effects of studying on test scores, studying would be the independent variable.
How do you find terms without expanding?
How To: Given a binomial, write a specific term without fully expanding.
- Determine the value of n according to the exponent.
- Determine (r+1).
- Determine r.
- Replace r in the formula for the ( r + 1 ) t h \displaystyle \left(r+1\right)\text{th} (r+1)th term of the binomial expansion.