<u>Answer:</u>
The correct answer option is .
<u>Step-by-step explanation:</u>
We are to find the probability that both your parents were born on weekend (either Saturday or Sunday).
Total number of days in a week =
Number of days in weekend =
Probability of being born on weekend =
P (both parents were born on weekend) = = 4/49
Given:
The expression is:
It leaves the same remainder when divided by x -2 or by x+1.
To prove:
Solution:
Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).
Let the given polynomial is:
It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that
...(i)
Substituting in the given polynomial.
Substituting in the given polynomial.
Now, substitute the values of P(2) and P(-1) in (i), we get
Divide both sides by 3.
Hence proved.