WebHow many positive three-digit integers have a remainder of 2 when divided by 6, a remainder of 5 when divided by 9, and a remainder of 7 when divided by 11? Solution 1. Looking at the values, we notice that , and . This means we are looking for a value that is four less than a multiple of , , and . WebSep 28, 2024 · The greatest value of $\color{red}{x \text{ is when}}$ 4 is divided by 6, which produces a remainder of 4. Note that $4$ divided by $6$ produces the remainder $4$. In general, division by $6$ can produce remainders $0,1,2,3,4,5$.

Remainder theorem examples (video) Khan Academy

WebRemember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 10 by 2. Write the remainder after subtracting the bottom number from the top number. End of long division (Remainder is 0 and next digit after decimal is 0). WebAccording to the polynomial remainder theorem, when you divide the polynomial function, P(x), by x-a, then the remainder will be P(a). In this case, we are dividing P(x) by x+3. x+3 can be thought of as x-(-3) and since the value "a" in the polynomial remainder has to be the constant that is being subtracted from x, our "a" value would be -3. ionicframwork market

Find the remainder when 2^21 is divided by 6 - Brainly.in

WebApr 1, 2014 · We have φ ( 7) = 6, therefore, 4 6 ≡ 1 ( m o d 7) by Euler's theorem. Now, ( 4 6) 166 = 4 996 ≡ 1 ( m o d 7). Since 4 4 ≡ 4 ( m o d 7), it follows that 4 1000 = 4 996 × 4 4 ≡ 4 ( m o d 7). Share Cite Follow edited Jul 4, 2024 at 19:12 answered Jan 22, 2024 at 23:52 XIC22 233 2 9 1 Welcome to the site, and thank you for the answer. WebJul 8, 2010 · This means, 37 3 leaves a remainder of 1 when divided by 7. So, we can now try to write 37 37 in terms of 37 3 as much as we can. 37 37 = ( 37 3) 12 * 37 1; when divided by 7, the remainder = ( 1) 12 * 2. This means the final remainder will be 2. The correct answer option is B. Hope that helps! WebWhen you divide these numbers by 6 you get the remainders $2, 0, 4, 2, 0, 4, \cdots$ and when you divide these numbers by 3, you get $2, 0, 1, 2, 0, 1 \cdots$, so the … ionic framework version