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