What is remainder theorem for cat?
In the process the excess portion remained after subtraction is called remainder, the maximum multiple of N is called quotient, and M and N are called dividend and divisor respectively. The remainder is always less than the divisor. If the dividend is less than the divisor, then the remainder is dividend itself.
What is Remainder Theorem explain with an example?
Remainder Theorem : If p(x) is any polynomial of degree greater than or equal to 1 and p(x) is divided by the linear polynomial x – a, then the remainder is p(a). Example : 2×2−5x−1 divided by x-3. f(x) is 2×2−5x−1.
What is the remainder when 2 40 is divided by 77?
77 = 7×11, let us divide the dividend 240 one by one with 7 and 11 to get the respective remainders. Note that 36 is multiple of 6 (euler of 7) also 2 and 7 are coprime, hence by Fermat Theorem: 2367→R(1) 2 36 7 → R ( 1 ) and 24=16 2 4 = 16 when divided by 7 the remainder obtained is 2.
How do you solve a remainder question?
Or not so the simple trick over here is whenever. You have a question which is X raise to n minus a raise to n. Where n is even ok then we can say X raise to n minus a raise to n.
How do you find a remainder on a cat?
Remainder Theorem – Number system lecture 1 for CAT / XAT / NMAT …
What is the remainder when 231 divided by 5?
Now,231=228×23.So,it is equivalent to finding the remainder when 23 is divided by 5..which is 3.So,the remainder when 231 is divided by 5 is 3..
What is the remainder theorem simple?
The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x – a, the remainder of that division will be equivalent to f(a).
Where do we use remainder theorem in real life?
Real-life Applications
The remainder theorem provides a more efficient avenue for testing whether certain numbers are roots of polynomials. This theorem can increase efficiency when applying other polynomial tests, like the rational roots test.
What is the remainder when 2 420 divided by 7?
Answer. Answer: 2^4 divided by 7 yields the remainder of 2; 2^5 divided by 7 yields the remainder of 4; 2^6 divided by 7 yields the remainder of 1; hope it helps u buddy ..
What is the remainder when 21000 is divided by 7?
Conclusion. To sum up, 21000/7 = 3000. It is a whole number with no fractional part. As division with remainder the result of 21000 ÷ 7 = 3000 R 0.
What is the remainder when 21 is divided by 7?
This is Expert Verified Answer
i.e., 21 is completely divisible by 7. so, remainder is 0.
What is the remainder when 1281000 is divided by 153?
Hence, 52 is the required remainder of 1281000÷153.
What is the remainder of 741 7?
The quotient (integer division) of 741/7 equals 105; the remainder (“left over”) is 6.
What is the remainder when 971 is divided by 101?
Is divided by 101? Hence the remainder is 17.
How do you write a remainder theorem?
If a polynomial f(x) is divided by x−a , the remainder is the constant f(a) , and f(x)=q(x)⋅(x−a)+f(a) , where q(x) is a polynomial with degree one less than the degree of f(x) . Synthetic division is a simpler process for dividing a polynomial by a binomial.
What are the three ways to find a remainder?
There are 3 ways of writing a remainder: with an R, as a fraction, and as a decimal. For example, 821 divided by 4 would be written as 205 R 1 in the first case, 205 1/4 in the second, and 205.25 in the third.
What is the remainder theorem formula?
This illustrates the Remainder Theorem. If a polynomial f(x) is divided by x−a , the remainder is the constant f(a) , and f(x)=q(x)⋅(x−a)+f(a) , where q(x) is a polynomial with degree one less than the degree of f(x) .
What is the remainder of 350 is divisible by 7?
Solution for checking the divisibility of 350 by 7
The Remainder of the Division is 0. The given number 350 is divisible by 7.
What is the remainder when 4 Power 1000 is divided by 7?
Hence when (4)1000 is divided by 7 the remainder is 4. Hence Option (C)is correct.
What is the remainder when 21 is divided by 361?
What is the remainder when 21! Is divided by 361? Hence the remainder is 323.
What is the remainder of 32 divided by 4?
Using a calculator, if you typed in 32 divided by 4, you’d get 8. You could also express 32/4 as a mixed fraction: 8 0/4.
How do you solve 28 divided by 4?
Using a calculator, if you typed in 28 divided by 4, you’d get 7. You could also express 28/4 as a mixed fraction: 7 0/4. If you look at the mixed fraction 7 0/4, you’ll see that the numerator is the same as the remainder (0), the denominator is our original divisor (4), and the whole number is our final answer (7).
What is the remainder when 7121 is divided by 17?
What is the remainder when[math]\,\,7^{121}\,\,[/math] is divided by 17? – Math Central. What is the remainder when is divided by 17? Hence the remainder is 10.
What is the remainder of 4008 divided by 9?
Frequently Asked Questions on Long Division of 4008 by 9
445 times 9 goes into 4008 and gives the remainder as 3.
What is the remainder of 135 9?
The quotient (integer division) of 135/9 equals 15; the remainder (“left over”) is 0. 135 is the dividend, and 9 is the divisor.