Math, asked by BK06, 11 months ago

Can you explain me the long division method for dividing algebraic expressions. This is for grade 8. Explain clearly please. I'm Blank.

Answers

Answered by StarrySoul
9

Long Division Method Of Algaebric Expression :

This method is same as we do in case of division of a number by another number, but two things to be kept in mind here are :

  • Both dividend and divisors should be in standard form.

  • Continue the process of division until we get the remainder with degree less than that of the divisor of remainder as zero.

Suppose, The Question is :

Divide : (6 - 13x + 6x^2) bt (-3+2x)

Step 1 : Write The divisor and dividend in standard form.

Step 2 : Divide the first term of the dividend (6x^2) by the first term of divisor (2x) to get the first term of Quotient.

Step 3 : Multiply the divisor (2x-3) by rhe first term of the quotient (3x) Subtract the product of (2x-3) and (3x) from dividend to get remainder.

Step 4 : Consider Remainder (-4x + 6) as new dividend but the divisor will be the same. Divide first term of dividend -4x by the first term of divisor (2x) to get the second term of quotient

Step 5 : Multiply the divisor (2x-3) by -2 second term of quotient.

Subtract the product -2(2x-3) from (-4x+6)

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