Okay. I will list all the relatively prime numbers up to 331.
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101, 103,107,109,113,127,131,137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331.
Okay, so look at this list and see which match up.
For A. 102 and 312. Neither of these numbers are relatively prime.
For B. 10 and 45. Neither of these are relatively prime.
For C. 3 and 51. 3 is a relatively prime number, 51 is not.
For D. 35 and 72. Neither of these are relatively prime numbers.
But the answer would be D. because to get a relatively prime pair of numbers you have to have both of them not be divisible by the same number. 102 and 312 can be divided 2, so that's not the answer. 10 and 45 can be divided by 5, so that is incorrect. 3 and 51 can be divided by 3, so that is also incorrect. 35 and 72 cannot be divided by the same numbers.
So, the answer is D. 35 and 72.
Answer:
Option A is correct not arithmetic
Explanation:
We have given terms 
these terms are not an arithmetic progression because
Arithmetic progression is the sequence of terms in which difference between successive and proceeding terms is same.
we can see the difference between 
and 
is 
Whereas, the difference between 
and is 
.
For synthetic division:
1) Write the coefficients of the polynomial under the division symbol, in order. Make sure you include coefficients that are 0, so they may not be written out in the polynomial!
The coefficients are 7, 1, 0 (the coefficient of x), and -4 in that order
2) The divisor is in the form of x - a. The number "a" goes outside the bracket.
a = 5
Since 7, 1, 0, -4 are under the bracket and 5 is outside the bracket, the answer is C.
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Answer: C
