`((6x^(4)+8x^(3)+27x^(2)+7)/(3x^(2)+4x+1))`

lim_(x rarr1)(x^(4)+3x^(3)-13x^(2)-27x+36)/(x^(2)+3x-4)

What is the HCF of 36(3x^(4)+5x^(3)-2x^(2)) , 9(6x^(3)+4x^(2)-2x),54(27 x^(4)-x) ?

The HCF of (6x^(4)-13x^(3)+6x^(2)) and (8x^(4)-36x^(3)+54x^(2)-27x) is

If f(x) = 6x^(4) + 8x^(3) + 17x^(2) + 21x + 7 is divided by g(x) = 3x^(2) + 4x +1 , the remainder is ax + b . Find a and b.

Find the quotient and remainder of the following using synthetic division: (i) (x^(3) +x^(2) -7x-3) +(x-3) (ii) (x^(3) +2x^(2) -x-4) +(x+2) (iii) (3x^(3) -2x^(2) +7x -5) +(x+3) (iv) (8x^(4) -2x^(2) +6x +5) +(4x+1)

From the sum of 6x^(4) - 3x^(3) + 7x^(2) - 5x + 1 and -3x^(4) + 5x^(3) - 9x^(2) + 7x - 2 subtract 2x^(4) - 5x^(3) + 2x^(2) - 6x - 8

The remainder when x^(6)-4x^(5)+8x^(4)-7x^(3)+3x^(2)+2x-7 is divided by x- 1 is ________.