Determine the value of k for which `x+2` is a factor of `(x+1)^(7)+(2x+k)^(3)`

Determine the value of k so that the function f(x)={(k(x^2+x+1),x<0),(cosx,xge0):} is continuous.

Check whether x - 1 is a factor of 3x^3-2x^2-3x+2 .

Find the value of k, if lim_(x rarr 1) (x^(4)-1)/(x-1) = lim_(x rarr k)(x^(3)-k^(3))/(x^(2)-k^(2))

If P(x)=2x^2-3x+1 ,then Write a first degree polynomial which is a factor of P(x) .

Find the values of k for which the line (k-3) x - (4-k^2) y + k^2 - 7k + 6 = 0 is parallel to the x-axis

Find the values of k for which the line (k-3) x - (4-k^2) y + k^2 - 7k + 6 = 0 is passing through the origin

Find the least value of k for which the function x^(2) + kx + 1 is an increasing function in the interval 1 lt x lt 2 .