Unit 2 - Objective 3 - Division of Polynomials
You may need to review Unit 1 - Objective 4
- Rules of Exponents again. Remember (am) / (an) = am
|(In #1 the denominator should have x raised to the 2nd power)
To divide a polynomial by a mononomial, divide each term of the
polynomial by the mononomial.
NOTE: (#2 has some mistakes - numerator of the 1st line should be 3xy not 6xy
2nd line the numerator of the first term should be 3xy not 6xy
3rd line the first term should be 1 not 3 and the second term constant should
be 4/3 not 4
4th line the first term should be 1 not 3 and the second term should be (4/3)y not 4y
To divide a polynomial by a polynomial follow these steps:
- Write both the dividend and the divisor in decreasing order of
- Are there any missing terms? If there are then write a coefficient of
- Set up the problem as long division.
- Divide the first term in the dividend by the first term in the
- Multiply the divisor by this first term of the quotient. Write the
product below the dividend with like terms under like terms. Subtract the product from the
- Repeat the last two steps until the power of the new dividend is less
than the power of the divisor.
1. Divide 6x2 - 4
- 4x + 8x4 by 2x + 1
This first term in the dividend is 8x4 and
the first term in the divisor is 2x. You would say 2x times what would give you 8x4
and you answer would be 4x3.
4x5 - 2x3 + 6x2 - 8 by (4x2
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