" (ii) "x^(4)+10x^(3)+35x^(2)+50x+24

Evaluate lim_(x to sqrt(3)) (3x^(8) + x^(7) - 11x^(6) - 2x^(5) 9x^(4) - x^(3) + 35x^(2) + 6x + 30)/(x^(5) - 2x^(4) + 4x^(2) - 9x + 6)

If x= -5 + sqrt(-16) , find the value of x^(4) + 9x^(3) + 35x^(2)-x + 4

Evaluate lim_(x to sqrt(3)) (3x^(8) + x^(7) - 11x^(6) - 2x^(5) - 9x^(4) - x^(3) + 35x^(2) + 6x + 30)/(x^(5) - 2x^(4) + 4x^(2) - 9x + 6)

If one of the root x^(4) - 5x^(3) + 10x^(2) - 20x + 24 = 0 is purely imaginary then the roots are

The equation whose roots are exceed by 2 then those x^(4) + x^(3) - 10x^(2) + 4x + 24 = 0 is

Factorise each of the following polynomials using synthetic division: (i) x^(3) -3x^(2) -10x +24 (ii) 2x^(3) -3x^(2) -3x +2 (iii) -7x +3+4x^(3) (iv) x^(3) +x^(2) -14x -24 (v) x^(2) - 7x+ 6 ( vi ) x^(3) -10x ^(2) -x+ 10

x^(2)-10x-24=0

If x=-5+2sqrt(-4), find the value of x^(4)+9x^(3)+35x^(2)-x+4

Using factor theorem, factorize the following polynomial : x^4+10x^3+35x^2+50x+24