Factories `9x^(3)-27x^(2)-100x+300`

Factories 2x^(3) - x^(2) - 12x -9 into linear factors.

Factories 8x^(3)+sqrt27 y^(3) .

Factories : (i) x^3-2x^2-x+2 (ii) x^3-3x^2-9x-5 (iii) x^3+13x^2+32x+20 (iv) 2y^3+y^2-2y-1

Factories: 1 - 6x + 9x ^(2)

Factories: 16x ^(2)- 24 x + 9

If r_(1), is the remainder when 3x^(4)-8x+5x^(2)-7x-13 is divided by x+k and r_(1), is when 9x^(3)-4x^(2)-3x+8 is divided by x-(k)/(2) and quad if quad (3)/(8)r_(1)-kr_(2)=(1)/(8), find the remainder when 32x^(3)+27x^(2)-43x+100 is divided by x-k.

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm : g(x)=3x+10,p(x)=9x^3-27x^2-100x+300 .

Evaluate lim_(x to 3) (x^(3) - 7x^(2) + 15x - 9)/(x^(4) - 5x^(3) + 27 x - 27)

Factories the following : 27x^(3) - 8y^(3)