# Grade 8 the Division of Algebraic Expression Worksheet (For CBSE, ICSE, IAS, NET, NRA 2022)

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## (6) Use the Short Division Method to Evaluate. Then Write Out the Quotient and the Remainder in the Boxes Given

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(7) Find the Value of n if is factor of

(8) Find the value of k so that be a factor of

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## (10) in below Question, Find the Quotient by Factorizing the Numerator

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• To get the Answer by using long division method first arrange the indices in descending order.

• Now, divide by to get the first term of quotient.

• Multiply the divisor by
• Bring Down the next term (-28)
• Divide by to get second term of quotient,

• Multiply the divisor by 7

• Therefore, Quotient and Remainder

• To get the Answer by using long division method first arranges the indices in descending order.

• Divide by to get first term of quotient.

• Now, multiply the divisor by 3x,

• Bring Down the next term (6)
• Divide by to get second term of quotient.

• Now, multiply the divisor by 2,

• Therefore, Quotient and Remainder

• To get the Answer by using long division method first arranges the indices in descending order.

• Divide by to get first term of quotient.

• Now, multiply the divisor by ,

• Bring Down the next term
• Divide by to get second term of quotient.

• Now, multiply the divisor by ,

• Divide by to get third term of quotient.

• Now, multiply the divisor by ,

• So, Quotient and Remainder

• To get the Answer by using long division method first arranges the indices in descending order.

• Divide by to get first term of quotient.

• Now, multiply the divisor by ,

• Divide by to get Second term of quotient.

• Now, multiply the divisor by ,

• Now Bring Down next two term that is:
• Hence,
• Divide by to get third term of quotient.

• Now, multiply the divisor by ,

• So, Quotient and Remainder

• To get the Answer by using long division method first arrange the indices in descending order.

• Divide by to get first term of quotient.

• Now, multiply the divisor by ,

• Divide by to get Second term of quotient.

• Now, multiply the divisor by ,

• So, Quotient and Remainder

• Arrange the indices in to Descending order:

• Now factorize considering divisor as a factor

• Therefore, Quotient and Remainder

• If is factor of given equation than ,

• By putting the value of the value of equation will become ZERO.

• If is factor of given equation than,

• By putting the value of value of equation will become ZERO.

• Factorize the numerator,

• Now For,
• We know identities that
• Compare this identities with our equation
• So,

• So,

• From Equation-1 and equation-2;

• So, is factor of

• So, Quotient is

• Factorize the numerator,

• Now to factorize given equation; we made by summation of two such part that are factor of multiplication of coefficient of
• Hence
• Multiplication of coefficient
• Now,

• So, is factor of numerator
• So,

• Therefore, Quotient is

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