Write `3\ x\ a\ x\ a\ x\ 2\ x\ b\ x\ b\ x\ b\ x\ c\ x\ c\ x\ c\ x\ c` in the exponential form.

a x a x 3 x b x b x 2 x c x c= .............

Express the following in exponential form: a x a x a x c x c x c x d

Let A = { x: x is a multiple of 2, x B = {x:x is a multiple of 3,x C = { x : x is a prime x Write each one of the sets A ,B ,C in Roster form.

The determinant |y^2-x y x^2a b c a ' b ' c '| is equal to a. |b x+a y c x+b y b^(prime)x+a ' y c^(prime)x+b ' y| b. |a x+b y b x+c y a^(prime)x+b ' y b ' x+c ' y| c. |b x+c y a x+b y b^(prime)x+c ' y a^(prime)x+b ' y| d. |a x+b y b x+c y a^(prime)x+b ' y b^(prime)x+c ' y|

The determinant |y^2-x y x^2a b c a ' b ' c '| is equal to a. |b x+a y c x+b y b^(prime)x+a ' y c^(prime)x+b ' y| b. |a x+b y b x+c y a^(prime)x+b ' y b ' x+c ' y| c. |b x+c y a x+b y b^(prime)x+c ' y a^(prime)x+b ' y| d. |a x+b y b x+c y a^(prime)x+b ' y b^(prime)x+c ' y|

If f(x)=x^3+b x^2+c x+d and 0 < b^2 < c , then f(x) is

Find x in terms of a , b and c : (a)/(x - a) + (b)/(x - b) = (2 c)/(x - c) , x - a , b , c

Write the following equation in the form of a x^ 2 + b x + c = 0 stating values of a, b, c : (x-1)^2=2x+3 .

(x-a) (x-b) (a-b) +(x-b) (x-c) (b-c) +(x -c) (x -a) (c-a) is equal to which of the following?

If |(1,1,1),(a,b,c),(a^(3),b^(3),c^(3))| = (a - b) (b - c) (c - a) (a + b + c) , where a,b,c are all different, then the determinant |(1,1,1),((x-a)^(2),(x-b)^(2),(x-c)^(2)),((x-b)(x-c),(x-c)(x-a),(x-a)(x-b))| vanishes when a)a + b + c = 0 b) x = (1)/(3) (a + b + c) c) x = (1)/(2) (a + b + c) d) x = a + b + c