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

Determine the value of m, if (x+ 3) is a factor of x^(3) -3x^(2) - mx + 24

Find the value of p for which x+1 is a factor of x^4+(p-3)x^3-(3p-5)x^2+(2p-9)x+6. Find the remaining factor for this value of pdot

Use the factor theorem to find the value of k for which (a+2b),w h e r ea ,b!=0 is a factor of a^4+32 b^4+a ^3b(k+3)dot

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

Find the value of k, if (x -3 ) is a factor of polynomials x^(3) - 9x^(2) +26 x + k

Determine the value of k such that the equation (2k-5)x^2-4x-15=0 and (3k-8)x^2-5x-21=0 may have a common root.

Find the value of k, such that fog=gof f(x)=3x+2, g(x)=6x-k

Find the value of k, such that fog=gof f(x)=2x-k, g(x)=4x+5