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26 Ιουν 2024 · Now a = r a = r when b = 0 b = 0 , so the remainder is equal to 22. Hence when p(x) = x3 + 4x2 − 3x + 10 p ( x) = x 3 + 4 x 2 − 3 x + 10 is divided by x + 4 x + 4 , then the remainder is 22. So, the correct answer is “22”. Note: When a polynomial equation of degree n is divided by another polynomial of degree m such that m ⩽ n m ⩽ n ...
25 Ιουν 2024 · Hint: For solving this question we will write ${{9}^{6}}-11={{\left( 1+8 \right)}^{6}}-11$ and then, expand the term ${{\left( 1+8 \right)}^{6}}$ by the binomial expansion formula for ${{\left( 1+x \right)}^{n}}$ and try to write ${{9}^{6}}-11$ in simpler form so, that we can find the remainder when it is divided by 8 easily.
6 ημέρες πριν · The remainder obtained when \[1! + 2! + 3! + .....100\] is divided by $240$ is A. $153$ B. $154$ C. $155$ D. $156$
6 ημέρες πριν · Hence , the remainder when \[{2^{256}}\] is divided by \[17\] is \[1\] . Thus , the correct option is \[(1)\] . Note: This is a very conceptual question which can be solved only using the knowledge of the remainder theorem otherwise thinking of expanding the terms and then finding the remainder would not be a fruitful way of doing the question ...
27 Ιουν 2024 · Quotient remainder theorem is the fundamental theorem in modular arithmetic. It is used to prove Modular Addition and Modular Multiplication. Quotient Remainder Theorem Examples. Example 1: If a = 22, b = 4 then q = 5, r = 2 22 = 4 x 5 + 2. Example 2: If a = -19, b = 5 then q = -4, r = 1 -19 = 5 x -4 + 1.
4 ημέρες πριν · Therefore, when (3n-1) is divided by 9, we get the remainder 2. Hence, option (B) 2 is correct. Additional Information: Euclid’s algorithm is used for calculating positive integers values of the required question. It is basically the HCF of two positive integers that can be a and b.
10 Ιουν 2024 · Time Complexity: O(1) Auxiliary Space: O(1) Note: If Divisor is ‘0’ then it will show Error: Divisor cannot be zero. Related Articles. Find the Quotient and Remainder of two integers without using division operators; Program for quotient and the remainder of big number; Python Program to find the Quotient and Remainder of two numbers
