12x-(3x^(3)+5x^(2)-17x^(2)-14-3x-x^(3))+6x^(3)}

12x - [3x^(2) + 5x^(2) - {7x^(2) - (4 - 3x - x^(3)) + 6x^(3)}-3x]

(2x^(2)+8x^(3)+11x-12)-(-5x^(2)-2x-13x^(3)-2)+(-4+2x-3x^(2)-5x^(3))

(5x^(2)-4+6x^(3))-:(-2+3x)

factorise (i) 2x^(3)-3x^(2)-17x+30 (ii) x^(3) -6x^(2)+11x-6 (iii) x^(3)+x^(2)-4x-4 (iv) 3x^(2)-x^(2)-3x+1

Find the GCD of the given polynomials 3x^(4)+6x^(3)-12x^(2)-24x, 4x^(4)+14x^(3)+8x^(2)-8x

List of the like terms in the following expression. (i) 4x^(4),-7x^(3),8x^(2),12x^(3),-9x^(4),-5x,4x^(3),12x^(2) (ii) 5xy,-3x^(2)y,2xy^(3),-2x^(2)y^(2),5x^(2)y,-3xy,6x^(2)y^(2)

Simplify: 4x^(3)-2x^(2)+5x-1+8x+x^(2)-6x^(3)+7-6x+3-3x^(2)-x^(3)

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

f(x)=4x^(3)-12x^(2)+14x-3,g(x)=2x-1