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

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

Determine the value of k for which g(x) is a factor of f(x) of the following given polynomials : f(x)=x^(3)+2kx^(2)-11x+k-5andg(x)=2x+1 .

Determine the value of k for which g(x) is a factor of f(x) of the following given polynomials : f(x)=2x^(4)+3x^(3)-kx^(2)+x-6andg(x)=2x+3 .

Determine the value of k for which the polynomial (2x^(4)-3x^(3)-x^(2)+x+k) is divisible by (2x - 1).

Determine the value of k for which the polynomial (2x^(4)-3x^(3)-x^(2)+x+k) is divisible by (2x + 3).

Determine the value of the constant k(ne 0) for which the function f(x)=1+kx is the inverse of itself.

Determine the values of x for which the following functions fails to be continuous or differentiable f(x) = {((1-x), x lt 1), ((1-x)(2-x), 1lexle2 ), ((3-x), x gt 2):}

Find the values of k for which |(x^2+k x+1)/(x^2+x+1)|<2,AAx in R

Consider the ellipse (x^2)/(f(k^2+2k+5))+(y^2)/(f(k+11))=1. If f(x) is a positive decreasing function, then the set of values of k for which the major axis is the x-axis is (-3,2)dot the set of values of k for which the major axis is the y-axis is (-oo,2)dot the set of values of k for which the major axis is the y-axis is (-oo,-3)uu(2,oo) the set of values of k for which the major axis is the y-axis is (-3,-oo,)

Find the value of x for which sec^(-1)x+sin^(-1)x=pi/2dot