Let `|(x^2+3x,x-1,x+3),(x+1,-2x,x-4),(x-3,x+4,3x)| = ax^4 + bx^3 + cx^2 + dx + e `be an identity in x, where a, b, c, d, e are independent of x. Then, the value of e is

Let |x^2+3xx-1x+3x+1-2xx-4x-3x+4 3x|=a x^4+b x^3+c x^2+e be an identity in x , where a , b , c , d , e are independent of xdot Then the value of e is 4 (b) 0 (c) 1 (d) none of these

Let |(1 +x,x,x^(2)),(x,1 +x,x^(2)),(x^(2),x,1 +x)| = ax^(5) + bx^(4) + cx^(3) + dx^(2) + lamdax +mu be an identity in x, where a, b, c, lamda, mu are independent of x. Then, the value of lamda is

Let |(x,2,x),(x^(2),x,6),(x,x,6)| = ax^(4) + bx^(3) + cx^(2) + dx + e Then, the value of 5a + 4b + 3c + 2d + e is equal to

Let ax^3+bx^2+cx+d=|{:(3x,x+1,x-1),(x-3,-2x,x+2),(x+3,x-4,5x):}| then the value of d is

If (x+2) and (x-2) are factors of ax^4 + 2x - 3x^2 + bx - 4 , then the value of a + b is

Let ax^3+bx^2+cx+d=|(x+1,2x,3x),(2x+3,x+1,x),(2-x,3x+4,5x-1)| then what is the value of c

Let ax^3+bx^2+cx+d =|(x+1,2x,3x),(2x+3,x+1,x), (2-x,3x+4,5x-1)| then what is the value of c