Question

if (x-1) is a factor of polynomial f(x) but not of g(x),it must be a factor of which of the following polynomials?(step by step) a) f(x) g(x) b) -f(x)+g(x) c) f(x)-g(x) d) {f(x)+g(x)}g(x)

Answer 1

Answer:

No need of complicated steps for this problem;

Just take a small example to make it easier for you,

4 is a factor of 12 but not 18;

The first 3 options are the same thing ;

subtacting g[x] from f[x] ;

So, it is clear that the answer is [d];

But how?

Well;

Let's continue with our example;

Option [d]: [ f[x] + g[x] ] g[x].

[12 + 18] 18

= 30 x 18

= 540

Now , 4 is definetly the factor of 540.  [ 4 x 135 = 540 ]

Wheather polynomials, expressions or linear equations , it is always the same thing with numbers!

Step-by-step explanation: