Question 1 Report
Divide: ax3x - 26x2x + 156ax - 216 by a2x - 24ax + 108
Answer Details
To divide the given expression, we can use the long division method.
ax^2 - 26x + 156a - 216b ___________________________________ ax | ax^3 + 3x^2 - 26x^2 + 156ax - 216bx^2 - 24ax + 108 -ax^3 ----- 3x^2 - 216bx^2 3x^2 - 3ax^2 -------------- -216bx^2 + 3ax^2 -216bx^2 + 36ax^2 ------------------ -33ax^2 + 156a - 216bx^2 - 24ax + 108 -33ax^2 + 33bx^2 ------------------ 156a - 33ax^2 - 24ax + 108 156a - 33ax^2 - 156ax + 33ax ------------------------- -24ax + 108 -24ax + 24bx ------------- 108 - 24bx 108 - 2ax -------- 2ax - 24bx + 108
Therefore, the quotient is ax - 2 with a remainder of 2ax - 24bx + 108.
Hence, the answer is ax - 2.