Hello, I need help with the following. could someone please help?
Find the linear factor of the form x-a, when a is a constant, of the cubic polynomial
and hence factorise f(x)
Begin by grouping the terms like this
You can see that (x+2) is a factor of both terms, and now it can be fatored out like so
Does that help? There are alot of ways to approach expressions of degree>2. Your goal is to know them all and to be able to know when is the right time to use the appropriate method.
Oh, I almost forgot. You need the linear factor in the form (x-a), but x+2=x-(-2), therefore a=-2
The constant is where Good candidates to try for are the divisors of the constant term, in this case You can also look at the polynomial and make a few eliminations. In this case, all the coefficients are positive, so you must try a negative number. Also all but one of the coefficients are even, so are no good. Therefore, you should try and and see which is 0.