Dividing Polynomials (Long Division)
How to solve dividing polynomial problems by using the long division: examples and their solutions.
See the meaning of each part.
Quotient: a - 7
Write the numerator and the denominator
as a division of natural numbers.
Don't forget to make a space for x2 term.
To remove x3,
write x2 on the quotient part
and write x3 - 2x2. [= x2(x - 2)]
After subtraction, 2x2 remains.
(x3) - (x3 - 2x2) = 2x2
Write -7x behind 2x2.
To remove 2x2,
write +2x on the quotient part
and write 2x2 - 4x. [= 2x(x - 2)]
After subtraction, -3x remains.
(2x2 - 7x) - (2x2 - 4x) = -3x
Write +11 behind -3x.
To remove -3x,
write -3 on the quotient part
and write -3x + 6. [= -3(x - 2)]
After subtraction, 5 remains.
(-3x + 11) - (-3x + 6) = 5
So the answer is x2 + 2x - 3 + 5/(x - 2).
Quotient: x2 + 2x - 3
Divisor: (x - 2)