Related InterviewSolutions

• When the polynomial `f(x)=ax^(2)+bx+c` is divided by x , x - 2 and x +3 remainders obtained are 7 , 9 and 49 respectively . Find the value of `3a + 5b+ 2c`.A. `-2`B. 2C. 5D. `-5`
• If `aa n db`are distinct integers, prove that `a-b`is a factor of `a^n-b^n`, wherever `n`is a positive integer.
• If `f(x + 2) = x^2 + 7x-13`, then find the remainder when `f(x)` is divided by `(x +2)`.A. `-25`B. `-12`C. `-23`D. `-11`
• Find the value of a if x - a is a factor of the polynomial `x^(5)-ax^(4)+x^(3)-ax^(2)+2x+3a-2`.
• Find the remainder when `x^(3)+3px+q` is divided by `(x^(2)-a^(2))` without actual division.
• The remainder when `f(x)=x^(3)+5x^(2)+2x+3` is divided by x is _________.
• Let `f(x-(1)/(x))=x^(2)+(1)/(x2)`, find the remainder when `f(x)` is divided by ` x -3`.A. `(82)/(9)`B. `(8)/(3)`C. 10D. 11
• If a polynomial f (x) is divided by `(x+a)` , then the remainder obtained is _______.
• Find the remainder when `x^999` is divided by `x^2-4x + 3`.
• If `(x^(2)-1)` is a factor of `ax^(3)-bx^(2)-ax+d`, then find the relation between a and c .