If `p_(1)^(x_(1))timesp_(2)^(x_(2))timesp_(3)^(x_(3))timesp_(4)^(x_(4))=11340` where `p_(1), p_(2), p_(3), p_(4)` are primes in ascending order and `x_(1), x_(2), x_(3), x_(4)` are integers, find the value of `p_(1), p_(2), p_(3), p_(4) and x_(1), x_(2), x_(3), x_(4)`.

If p(x)=x^(2)-5x-6 , then find the values of p(1),p(2),p(3),p(0),p(-1),p(-2),p(-3) .

Let p(x)=x^(2)-4x+3 . Find the value of p(0),p(1),p(2),p(3) and obtain zeroes of the polynomial p(x) .

The sum of the polynomials p(x) =x^(3) -x^(2) -2, q(x) =x^(2) -3x+ 1

Let each of the circles S_(1)-=x^(2)+y^(2)+4y-1=0 S_(1)-= x^(2)+y^(2)+6x+y+8=0 S_(3)-=x^(2)+y^(2)-4x-4y-37=0 touch the other two. Also, let P_(1),P_(2) and P_(3) be the points of contact of S_(1) and S_(2) , S_(2) and S_(3) , and S_(3) , respectively, C_(1),C_(2) and C_(3) are the centres of S_(1),S_(2) and S_(3) respectively. P_(2) and P_(3) are images of each other with respect to the line

The sum of the polynomials p(x) = x^(3) - x^(2) - 2, q(x) = x^(2) - 3x + 1

Let each of the circles S_(1)-=x^(2)+y^(2)+4y-1=0 S_(1)-= x^(2)+y^(2)+6x+y+8=0 S_(3)-=x^(2)+y^(2)-4x-4y-37=0 touch the other two. Also, let P_(1),P_(2) and P_(3) be the points of contact of S_(1) and S_(2) , S_(2) and S_(3) , and S_(3) , respectively, C_(1),C_(2) and C_(3) are the centres of S_(1),S_(2) and S_(3) respectively. The ratio ("area"(DeltaP_(1)P_(2)P_(3)))/("area"(DeltaC_(1)C_(2)C_(3))) is equal to

If p(x) = 5x^(3) - 3x^(2) + 7x -9 , find (i) p(-1) (ii) p(2)

If (1+x+x^2++x^p)^n=a_0+a_1x+a_2x^2++a_(n p)x^(n p), then find the value of a_1+2a_2+3a_3+ddot+n pa_(n p)dot

If the mid-point (x,y) of the line joining (3,4) and (p,7) lies on 2x+2y+1=0 , then what will be the value of p?