Polynomial Long and Synthetic Division

When performing long division on polynomials, what is the correct order of steps?

• Divide, Multiply, Subtract, Bring down

• Multiply, Divide, Add, Bring up

• Subtract, Divide, Multiply, Bring down

• Add, Multiply, Divide, Subtract

Divide using Synthetic Division:

Which step comes after dividing the leading terms in long division?

• Combine like terms

• Multiply, subtract, repeat

• Rewrite the divisor

• Add remainder to the quotient

What is the first step in polynomial long division?

• Subtract the remainder

• Multiply all terms by the divisor

• Divide the leading terms

• Add the dividend and divisor

Which term describes the result of dividing one polynomial by another?

• Dividend

• Quotient

• Remainder

• Divisor

What does the remainder tell us about a polynomial division?

• The division is complete

• The divisor is a factor

• The dividend is incorrect

• The divisor is not a factor

• 4, -2, 2, 6

• 2, -2, 4, 2

• 4, 2, -2, 6

• 4, 2, 2, 6

How does synthetic division simplify calculations?

• It skips the subtraction step

• It avoids multiplication

• It works for all divisors

• It uses only coefficients

• x + 5 + (2/2x - 4)
• x - 8
• x - 5 + (3/2x - 4)
• x + 5

If you are missing a term in your polynomials (both dividend and divisor), you must put a zero as a coefficient place holder for that term.

• True

• False

• Only for the dividend

• Only for the divisor