Exploring Long Division Techniques for Polynomials

What is the first step in dividing two numbers?

• Bring down the next number from the dividend

• Determine how many times the divisor fits into the first digit(s) of the dividend

• Multiply the divisor by the quotient

• Subtract the divisor from the dividend

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2

What do you do after subtracting in long division?

• Start over with a new divisor

• Multiply the divisor by the quotient

• Bring down the next number from the dividend

• Add the divisor to the result

Tags

CCSS.6.NS.B.3

What is the dividend in a division operation?

• The remainder of the division

• The result of the division

• The number you divide by

• The number being divided

Tags

CCSS.3.OA.A.2

In polynomial division, what is analogous to the dividend in numerical division?

• The divisor polynomial

• The quotient polynomial

• The remainder polynomial

• The polynomial being divided

Tags

CCSS.HSA.APR.D.6

What role does the remainder play in division?

• It is added to the quotient

• It is subtracted from the quotient

• It represents what is left over after division

• It is multiplied by the divisor

Tags

CCSS.3.OA.A.2

How do you start the process of dividing a polynomial?

• By determining what to multiply the first term of the divisor polynomial by to match the first term of the dividend polynomial

• By subtracting the divisor polynomial from the dividend polynomial

• By adding the divisor polynomial to the dividend polynomial

• By multiplying the first term of the divisor polynomial by the dividend polynomial

Tags

CCSS.HSA.APR.D.6

What is the correct way to handle subtraction in polynomial division?

• Only subtract the first term

• Subtract each term individually

• Ensure to distribute the subtraction across all terms

• Subtract and then multiply by the divisor

Tags

CCSS.HSA.APR.D.6

What signifies the end of the polynomial division process?

• When the remainder is zero

• When the quotient is fully simplified

• When there are no more terms to bring down

• When the remainder is smaller than the divisor polynomial

Tags

CCSS.HSA.APR.D.6

How is the final result of a polynomial division expressed?

• As the quotient polynomial only

• As the difference between the dividend and divisor polynomials

• As the product of the divisor and quotient polynomials plus the remainder

• As the sum of the quotient and remainder polynomials

Tags

CCSS.HSA.APR.D.6

What must be true about the remainder in a division operation?

• It must be equal to the divisor

• It must be larger than the divisor

• It can be any size relative to the divisor

• It must be smaller than the divisor

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2