The polynomials `P(x) = kx^3 + 3x^2-3` and `Q(x) = 2x^3-5x + k`, when divided by `(x-4)` leave the same remainder. The value of `k` is

The polynomial P (x)= kx^3+3x^2-3 and Q(x)=2x^3-5x+k , when divided by (x-4) leave the same remainder. The value of 'k' is

If a is defined by f (x)=a_(0)x^(n)+a_(1)x^(n-2)+a_(2)x^(n-2)+...+a_(n-1)x+a_(n) where n is a non negative integer and a_(0),a_(1),a_(2),…….,a_(n) are real numbers and a_(0) ne 0, then f is called a polynomial function of degree n. For polynomials we can define the following theorem (i) Remainder theorem: Let p(x) be any polynomial of degree greater than or equal to one and 'a' be a real number. if p(x) is divided by (x-a), then the remainder is equal to p(a). (ii) Factor theorem : Let p(x) be a polynomial of degree greater than or equal to 1 and 'a' be a real number such that p(a) = 0, then (x-a) is a factor of p(x). Conversely, if (x-a) is a factor of p(x). then p(a)=0. THe polynomials P(x) =kx^(3)+3x^(2)-3 and Q(x)=2x^(3) -5x+k, when divided by (x-4) leave the same remainder. Then the value of k is

If a is defined by f (x)=a_(0)x^(n)+a_(1)x^(n-2)+a_(2)x^(n-2)+...+a_(n-1)x+a_(n) where n is a non negative integer and a_(0),a_(1),a_(2),…….,a_(n) are real numbers and a_(0) ne 0, then f is called a polynomial function of degree n. For polynomials we can define the following theorem (i) Remainder theorem: Let p(x) be any polynomial of degree greater than or equal to one and 'a' be a real number. if p(x) is divided by (x-a), then the remainder is equal to p(a). (ii) Factor theorem : Let p(x) be a polynomial of degree greater than or equal to 1 and 'a' be a real number such that p(a) = 0, then (x-a) is a factor of p(x). Conversely, if (x-a) is a factor of p(x). then p(a)=0. THe polynomials P(x) =kx^(3)+3x^(2)-3 and Q(x)=2x^(3) -5x+k, when divided by (x-4) leave the same remainder. Then the value of k is

The polynomials P(x)=kx^(3)+3x^2-3and Q(x)=2x^(3)-5x+k, when divided by (x-4) leave the same remainder. The value of k is

The polynomials P(x)=kx^(3)+3x^2-3and Q(x)=2x^(3)-5x+k, when divided by (x-4) leave the same remainder. The value of k is

If the polynomials ax ^(3) + 3x ^(2) -13 and 2x ^(3) -5x +a are divided by (x-2) leave the same remainder, find the value of a.

The polynomial (ax^3+3x^2-3) and (2x^3-5x+a) when divided by (x-4) leave the same remainder. Find the value of a.

The polynomials ax^(3)+3x^(2)-3 and 2x^3- 5x +a, when divided by x - 4, leave the same remainder in each case. Find the value of a.

If the polynomials a x^3+3x^2-13 and 2x^3-5x+a , when divided by (x-2) leave the same remainder, find the value of a .

If the polynomials a x^3+3x^2-13 and 2x^3-5x+a , when divided by (x-2) leave the same remainder, find the value of a .