If 2x\(^2\) - kx - 12 is divisible by x-4, Find the value of k.

A polynomial in x whose roots are 4/3 and -3/5 is?

If 9x\(^2\) + 6xy + 4y\(^2\) is a factor of 27x\(^3\) - 8y\(^3\), find the other factor.

When the expression pm\(^2\) + qm + 1 is divided by (m - 1), it has a remainder is 2, and when divided by (m + 1), the remainder is 4. Find p and q respectively

If g(x) = x\(^2\) + 3x  find g(x + 1) - g(x)