If `x^2+px+1` is a factor of `ax^3+bx+c` then a) `a^2+c^2=-ab` b) `a^2+c^2ab` c) `a^2-c^2=ab` d) `a^2-c^2=-ab`

If ax^2+px+1 is a factor of ax^3+bx+c then a) a^2+c^2=-ab b) a^2+c^2=ab c) a^2-c^2=ab d)a^2-c^2=-ab

If (x^(2)+px+1) is a factor of (ax^(3)+bx+c), then a^(2)+c^(2)=-ab b.a^(2)-c^(2)=-ab c.a^(2)-c^(2)=abd .none of these

If x^(2)+px=1 is a factor of the expression ax^(3)+bx=c, then a^(2)-c^(2)=ab b.a^(2)+c^(2)=-ab c.a^(2)-c^(2)=-ab d.none of these

factorize : a^2+2ab +b^2-9c^2

If ax^(3)+bx+c has a factor of the form x^(2)+px+1 , show that a^(2)-c^(2)=ab .

If 2a + xb + c is a factor of 9b^2-c^2-2ac + 6ab , then the value of x will be

Area of the rhombus formed by the lines ax +- by +- c = 0 is (A) 2c^2/|ab| (B) |ab|/2c^2 (C) c^2/|ab| (D) |ab|/c^2

If the roots of the equation x^3+3ax^2+3bx+c=0 are in H.P. , then (i) 2b^2=c(3ab-c) (ii) 2b^3=c(3ab-c) (iii) 2b^3=c^(2)(3ab-c) (iv) 2b^2=c^(2)(3ab-c)