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What to Do |
How to Do It |
| 1. Divide a
binomial by a monomial using the definition of division,
the distributive property
and the laws of the exponents. |
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| 2. Divide 6a5 - 15a7 by - 3a using
the definition of division,
the distributive property
and the laws of the exponents.. |
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| 3. Divide a
polynomial by a monomial in the same
way, watching signs and powers.
Divide each term using the distributive property.
Reduce each fraction to lowest terms: |
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| 4.
Simplify the numerator and divide polynomial
by a monomial in the same way, watching signs
and powers.
Divide the polynomial by the monomial
Divide each term using the distributive property.
Reduce each fraction to lowest terms: |
 |
| Divide a polynomial by a binomial using the
methods of long division.
|
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| The polynomial must be arranged in
descending order with spaces left as
placeholders for any missing powers. |
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| Divide the first term of the binomial exactly into
the first term of the polynomial. Multiply the
resulting quotient term times all of the binomial.
|
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| Subtract this product by the rules of algebra,
change signs and add →
Write the resulting sum and continue : |
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| Bring down the next polynomial term
and repeat these steps.
|
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| Look at the first term of the next binomial:
Divide x into - 3x →
Multiply divisor binomial and subtract this product
change signs and add |
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| When the
remainder of the division of a polynomial by a binomial is equal to
zero,
the divisor and quotient are called exact divisors or factors of the polynomial. Check by multiplying the divisor by the quotient : (x − 2)( x − 3) = x2 − 5x + 6 |
