Answer:

Step-by-step explanation:

Factor using Rational Root Theorem.
This means our possible roots are
positve or negative (1,2,3,6). If we try positve 1, it is indeed a root.
This means that

is a root.
We can divide the top equation by the root (x-1). Our new equation is

Now we can factor this completely

So this equation in factored form is

Answer:
a. 36
Step-by-step explanation:
for (n^2-38)/(n+1) to be an integer, n+1 must completely divide, n^2-38.
we check with the options
option a n=36 sutisfies the above condition.
(36^2-38)/36+1 = 1258/37= 34 , which is an integer. Therefore, largest integer would be 36
You cant answer the Question with out the picture <span />
6x^2+14x+4
First factor out all numerical factors (=2 in this case)
2(3x^2+7x+2)
look for m,n such that m*n=3*2, m+n=7 => m=6, n=1
2(3x^2+6x + 1x+2)
Factor 3x^2+6x into 3x(x+2)
2( 3x(x+2)+1(x+2) )
factor out common factor (x+2)
2(x+2)(3x+1)
=>
6x^2+14x+4=2(x+2)(3x+1)
Answer:
Option D is correct.
Step-by-step explanation:
Have a nice day. ;-)