`x^(3)-4x^(2)+5x-2` ను x-2 చే భాగించండి.

The polynomial equation of degree 5 whose roots are the translates of the roots of x ^(5) - 2x ^(4) + 3x ^(3) -4x ^(2) + 5x -6=0 by -2 is

p(x) = x^(3) + 4x^(2) + 5x -2 then p(1) = ……………

The roots of x^(4) + 4x^(3) + 5x^(2) + 2x - 2 = 0 one root being -1 + i are

The remainder we get when we divide 2x^(5) - 3x^(4) + 5x^(3) - 3x^(2) + 7x - 9 with x^(2) - x- 3 is

Use the Factor Theorem to determine whether g (x) is factor of f(x) in each of the following cases: (i) f (x) = 5x ^(3) + x ^(2)-5x -1, g (x)=x +1 (ii) f (x) = x ^(3) + 3x ^(2) + 3x +1 , g(x) =x +1 (iii) f (x) =x ^(3) - 4x ^(2) +x + 6, g (x) =x -2 (iv) f (x) = 3x ^(3) - 20x + 12, g (x) = 3x -2 (v) f (x) = 4x ^(3) + 20 x ^(2) + 33 x +18, g (x) =2x +3

The remainder when 2x^(5) - 3x^(4) + 5x^(3) - 7x^(2) + 3x - 4 is divided by x - 2 is

Divide 3x^(4) - 5x^(3)+4x^(2)+3x-5 by x^(2) - 3 and verify the division algorithm.

If A, B, C are the remainders of x^(3) - 3x^(2) - x + 5, 3x^(4) - x^(3) + 2x^(2) - 2x - 4, 2x^(5) - 3x^(4) + 5x^(3) - 7x^(2) + 3x - 4 when divided by x + 1, x + 2, x - 2 respectively then the ascending order of A, B ,C is

Add 5x^(2)+5x-2 and 4+4x^(2) .