8a^(3)-b^(3)-4ax+2bx

12a^(2)+bx^(2)-4ab-3ax^(2)

If (x^(2)-2) be a factor of the polynomial (ax^(3)-bx^(2)-4) , find the values of a and b.

Let a, b and c be non - zero real numbers such that int _(0)^(3) (3ax ^(2) + 2bx +c) dx = int _(1)^(3) (3ax^(2) + 2bx +c) dx , then

Let a, b and c be non - zero real numbers such that int _(0)^(3) (3ax ^(2) + 2bx +c) dx = int _(1)^(3) (3ax^(2) + 2bx +c) dx , then

If 2, - 2, 4 are the roots of ax^(3) + bx^(2) + cx + d = 0 then the roots of 8ax^(3) + 4bx^(2) + 2cx + d = 0 are

If x = (sqrt(2a + 3b)+sqrt(2a - 3b))/(sqrt(2a + 3b) - sqrt(2a - 3b)) , show that 3bx^(2) - 4ax + 3b = 0 .

If the equation whose roots are p times the roots of x^(4)-2ax^(3)+4bx^(2)+8ax+16=0 is a reciprocal equation then p= (A) 3 (B) 1/4 (C) -1/2

int_(0)^(3)(3ax^(2)+2bx+c)dx=int_(1)^(3)(3ax^(2)+2bx+c)dx

Let a,b,c be non - zero real numbers such that int_(0)^(3)(3ax^(2)+2bx+c)dx=int_(1)^(3)(3ax^(2)+2bx+c)dx . Then