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Find the remainder when x3+3x2+3x+1 is divided by x+1.

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Important Questions on Polynomials

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Let x be the least number divisible by 13, such that when x is divided by 4, 5, 6, 7, 8 and 12, the remainder in each case is 2. The sum of the digits of x is _____.
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When 3738, 5659 and 9501 are divided by the greatest possible number x, the remainder in each case is y. what is the sum of x and y?
EASY
If the 5-digit number 538xy is divisible by 3, 7 and 11, then the value of (x2+y2) is _____.
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Using the remainder theorem, find the remainders obtained when x3+kx+8x+k is divided by x+1 and x-2. Hence, find k if sum of two remainders is 1.
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Two positive numbers differ by 2001. When the larger number is divided by the smaller number, the quotient is 9 and the remainder is 41. The sum of the digits of the larger number is:
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The ratio of the divisor to the remainder is 3 : 2 and the ratio of the divisor to quotient is 7 : 12. If the remainder is 14, then the remainder when the dividend is divided by 9 is:
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If 1433×1433×1422×1425 is divided by 12, then what is the remainder?
EASY

When px=40x2+11x-63 is divided by x+2 then _____ is obtained as remainder.

HARD
When a number is successively divided by 3, 4 and 7, the remainder obtained is 2, 3 and 5, respectively. What will be the remainder when 42 divides the same number?
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The remainder when 72×73×78×76 is divided by 35 is:
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If the polynomial p(x)=2x3-5x+4, then find the values of p(2) and p(0)
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Find the remainder in the expression 557×653×6729.
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What must be added to the polynomial 2x3-3x2-8x, so that it leaves a remainder 10 when divided by 2x+1
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When a number is successively divided by 3, 4 and 7, the remainder obtained are 2, 3 and 5 respectively. What will be the remainder when 84 divided the same number?
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If the remainder on division x3+2x2+kx+3 by x-3 is 21, find the value of k and hence find the zeroes of the cubic polynomial x3+2x2+kx-18.
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If ax3+bx+c is divisible by x2+dx+1, then

EASY

If the polynomial px=x2-x+1 is divided by x-2 then the remainder is 

EASY
Which is the largest six-digit number, which when divided by 12, 15, 20, 24 and 30, leaves the remainders 8, 11, 16, 20 and 26 respectively.
EASY
In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, the dividend is:
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A student was asked to divide a number by 6 and add 12 to the quotient. He, however, first added 12 to the number and then divided it by 6, getting 112 as the answer. The correct answer should have been _____.