Question

DIVIDING POLYNOMIALS​

Answer 1

Answer:

answer

Step-by-step explanation:

In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division. It can be done easily by hand, because it separates an otherwise complex division problem into smaller ones.

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Answer 2

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✅Algebraic Long Method:-

❶Arrange the indices of the polynomial in descending order. Replace the missing term(s) with 0.

❷Divide the first term of the dividend (the polynomial to be divided) by the first term of the divisor. This gives the first term of the quotient.

❸Multiply the divisor by the first term of the quotient.

Subtract the product from the dividend then bring down the next term. The difference and the next term will be the new dividend.

• Note: Remember the rule in subtraction "change the sign of the subtrahend then proceed to addition".

❹Repeat step 2 – 4 to find the second term of the quotient.

Continue the process until a remainder is obtained. This can be zero or is of lower index than the divisor.

❺If the divisor is a factor of the dividend, you will obtain a remainder equal to zero. If the divisor is not a factor of the dividend, you will obtain a remainder whose index is lower than the index of the divisor.