Answer:
1.)
2.)
3.) 1
4.)
5.)
6.)
Step-by-step explanation:
The 2 steps for all of these is to get common denominators and then add and simplify.
1.) 3/4 + 1/2 (common denominator) 3/4 + 2/4 = 5/4
2.) 5/6 + 1/2 (common denominator) 5/6 + 3/6 = 4/3
3.) 3/6 + 1/2 (common denominator) 3/6 + 3/6 = 6/6 (simplify) = 1
4.) 1/6 + 4/8 (common denominator) 8/48 + 24/48 = 32/48 (simplify) = 2/3
5.) 7/8 + 1/4 (common denominator) 7/8 + 2/8 = 9/8
6.) 3/8 + 1/2 (common denominator) 3/8 + 4/8 = 7/8
Answer:
.
Step-by-step explanation:
Let denote a constant (a number, rather than a variable like
.)
Let denote an expression about
(for example,
By the factor theorem, if is a factor of
, then
. In other words, if all mentions of
in the expression
are replaced with
, then the expression should evaluate to zero.
is equivalent to
. That is:
.
Replace all mentions of in
by
to get:
.
That should evaluate to zero. Therefore: . Solve for
to get
.
