x^(3)-ax^(2)+6x-a-:0x-a^(2)

If 4x + 3a = 0 , then what is the value of (x^(2) + ax + a^(2))/(x^(3) - a^(3)) -(x^(2) -ax + a^(2))/(x^(3) + a^(3)) ?

Consider equation x^(4)-6x^(3)+8x^(2)+4ax-4a^(2)=0,ainR . Then match the following lists:

Consider equation x^(4)-6x^(3)+8x^(2)+4ax-4a^(2)=0,ainR . Then match the following lists:

Consider equation x^(4)-6x^(3)+8x^(2)+4ax-4a^(2)=0,ainR . Then match the following lists:

Find the centre and radius of each of the following circle : (i) x^(2)+y^(2)+4x-4y+1=0 (ii) 2x^(2)+2y^(2)-6x+6y+1=0 (iii) 2x^(2)+2y^(2)=3k(x+k) (iv) 3x^(2)+3y^(2)-5x-6y+4=0 (v) x^(2)+y^(2)-2ax-2by+a^(2)=0

Find the value of a if (x -a) is a factor of the polynomial x^(6)-ax^(5)+x^(4)-ax^(3)+3x-a+2

In each of the following two polynomials,find the value of a, if x-a is a factor: x^(6)-ax^(5)+x^(4)-ax^(3)+3x-a+2x^(5)-a^(2)x^(3)+2x+a+1

Without solving , comment upon the nature of roots of each of the following equations : (i) 7x^(2)-9x+2=0 (ii) 6x^(2)-13x+4=0 (iii) 25x^(2)-10x+1=0 (iv) x^(2)+2sqrt(3)x-9=0 (v) x^(2)-ax-b^(2)=0 (vi) 2x^(2)+8x+9=0

int x^(3)e^(ax)dx=(e^(ax))/(a){x^(3)-(3)/(a)x^(2)+(6)/(a^(2))x-(6)/(a^(3))}