Use the remainder theorem!

Algebra Level 3

Given that \(x^{ 2 }-5x+4\) is a factor of the expression \(2{ x }^{ 4 }+hx^{ 3 }+kx^{ 2 }+34x-24\). What is the factorized form of the expression?

Hint: Find the values of \(h\) and \(k\) first.