Use the remainder theorem!

Algebra Level 2

Given that x25x+4x^{ 2 }-5x+4 is a factor of the expression 2x4+hx3+kx2+34x242{ x }^{ 4 }+hx^{ 3 }+kx^{ 2 }+34x-24. What is the factorized form of the expression?

Hint: Find the values of hh and kk first.

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