Basically the remainder theorem links the remainder of division by a binomial with the value of a function at a point while the factor theorem links the factors of polynomial to its zeros
Answer:
There are 364 ways of filling the offices.
Step-by-step explanation:
In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:

where n=14 (number of members)
r=3 number of offices
n!=n·(n-1)·(n-2)·...·3·2·1

Answer:
The first picture
Step-by-step explanation:
Its the only one that has the line x=1
Answer: The inverse f the given statement is
"If a polygon is not a Pentagon, then it does not have five sides".
Step-by-step explanation: We are given to write the inverse of the following conditional statement:
"If a polygon the has five angles, then it is a Pentagon".
<u>INVERSE of a conditional statement :</u>
If the conditional statement is
"If p, then q",
then its inverse statement is given by
"If not q, then not p".
Therefore, the inverse of the given statement is
"If a polygon is not a Pentagon, then it does not have five sides".
Answer:
a) 300m
b) 15 miles
Step-by-step explanation:
a) 1 : 30 000
= 1x 30 000
= 30 000cm
= 30 000cm/ 100 Representing in metres
= 300m
b) 1 : 6
= 1x 2.5 : 6x 2.5
= 2.5 : 15
= 15 miles