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If α, β, γ are the roots of the equation x3+4x+1=0, thenα+β-1+β+γ-1+γ+α-1 is equal to

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Important Questions on Algebraic Expressions

MEDIUM
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 _____.
MEDIUM
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 _____.
EASY
The common root of the equations x2-bx+c=0 and x2+bx-a=0 is
EASY
The coefficient of y in the expansion 2y-53, is:
EASY
The quadratic polynomial the sum of whose zeros is -5 and their product is 6, is
EASY
If 1433×1433×1422×1425 is divided by 12, then what is the remainder?
EASY

The sum of the zeroes of the polynomial px=5x2+2x-3 is

EASY
If 1-64x3-12x+px2=1-4x3, then the value of p is:
EASY
The zeroes of the polynomial Px=x2-3x-4  will be : 
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:
EASY
The product of the zeros of 4u2+8u is
EASY
Let fx be a polynomial with integer coefficients satisfying f1=5 and f2=7. The smallest possible positive value of f12 is
EASY
The product of the zeroes of 3x2+11x-2 is: 
EASY

If α, β and γ are the zeros of a cubic polynomial px=ax3+bx2+cx+d, a0 then 1α+1β+1γ= _____.

EASY

The zeros of a quadratic polynomial _____ are 4 and 3.

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
The value of 27a3-22b3 is equal to:
EASY
Find the remainder in the expression 557×653×6729.