Long Division Method To Divide Two Polynomials: Dividing One Polynomial by Another Polynomial
Long Division Method To Divide Two Polynomials: Dividing One Polynomial by Another Polynomial
Long Division Method To Divide Two Polynomials: Dividing One Polynomial by Another Polynomial
arrange the terms of the dividend and the divisor in the decreasing order of their
degrees.
To obtain the first term of the quotient, divide the highest degree term of the dividend by
the highest degree term of the divisor. Then carry out the division process.
The remainder of the previous division becomes the dividend for the next step. Repeat
this process until the degree of the remainder is less than the degree of the divisor.
An example of the use of long division method to divide two polynomials is given below.
Remainder Theorem
When a polynomial f (x) of degree greater than or equal to one is divided by a linear polynomial
x − a the remainder is equal to the value of f (a).
Factor Theorem
If P (x) is a polynomial of degree greater than or equal to one and a is any real number then
x − a is a factor of P (x) if P (a) = 0.
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