math
posted by TUHITUHI .
find the value of a and b , so that 10x to the power 4 + 17x to the power 3  62x to the power 2 + 24x bx 5 +a,is divisible by 2x to the power 2 + 7x  1 ?

I assume you know how to perform long algebraic division , so I will only enter my last line result
I obtained an answer of 5x^2  9x + 3 with a remainder of (6b)x + a2
but it said it divided evenly, so
6b = 0 > b = 6
and a2 = 0 > a=2
You can test this by replacing a and b into the original and repeating the division, this results in an exact answer.