For dividing a polynomial by a binomial, we may proceed according to the following steps :

Step 1: We look at the first term of (a^{2} + 7a + 12 )and the first term of (a + 4) Divide as follows : a ^{2}/a We write 'a' at top of our long division and multiply (a)(a + 4)= a ^{2} + 4a to give the second row of our solution |

Step 2 : Subtracting the second row from the first gives : |

Be careful with+ 7a - (+ 4a ) = +7a - 4a = 3a Step 3: Bring down the +12 from the 1st row : |

Step 4: As the remainder is 3a + 12, so multiply (a +4) by 3 and write +3 at the top.Write the multiplication of 3 and (a + 4) below the remainder. |

Step 5: Subtract : (3a + 12) and ( 3a + 12) |

So (a ^{2} + 7a + 12)/ (a + 4) = a + 3 You can check your answer by multiplying (a + 3) by (a +4) you will get (a ^{2} + 7a + 12) |

• Division of Polynomial by Monomial

• Division of Polynomial by Binomial

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