Long Division of Polynomials

Multiple Choice

Which law of exponents is used to simplify the expression y^{12} ÷ y^{7}?

• Product rule

• Quotient rule

• Power rule

• Zero exponent rule

Fill in the Blanks

Fill in the blank: According to the quotient rule, x^m / x^n = x^

.

Multiple Choice

Which of the following steps is NOT part of dividing a polynomial by a monomial as shown in the examples?

• Divide each term of the polynomial by the monomial

• Apply the quotient rule to the exponents

• Add the exponents in the numerator and denominator

• Simplify the coefficients

Multiple Choice

What is the result when you divide 444 by 3 using long division?

• 148

• 144

• 14

• 44

Multiple Choice

Which of the following is the correct sequence of steps for performing long division, as shown in the division of 444 by 3?

• Divide, Multiply, Subtract, Bring Down, Repeat

• Multiply, Divide, Subtract, Bring Down, Repeat

• Divide, Subtract, Multiply, Bring Down, Repeat

• Divide, Bring Down, Multiply, Subtract, Repeat

Multiple Select

Which of the following are steps in the long division of polynomials?

• Divide

• Multiply

• Subtract

• Add

Fill in the Blanks

Fill in the blank: When dividing the polynomial 20x^3 + 10x^2 + 8x - 12 by 2, the first term in the quotient is

Multiple Choice

What is the result of dividing (x^2 + 5x + 6) by (x + 2) using long division?

• x + 3

• x + 2

• x + 4

• x + 5

Multiple Choice

When dividing (2x^2 - 6x - 10) by (x + 2), what is the remainder?

• 10

• 0

• -10

• 2

Open Ended

Given the area of a rectangular garden as x^2 + 7x + 10 and its width as (x + 2), how would you determine its length?

Multiple Choice

What is the first step when performing long division on the polynomial (x^2 + 7x + 10) ÷ (x + 2)?

• Divide the first term of the dividend by the first term of the divisor

• Multiply the divisor by the quotient

• Subtract the result from the dividend

• Bring down the next term

Fill in the Blanks

The length of the rectangular garden is

units.

Open Ended

Reflecting on today's lesson about dividing polynomials, what is one new thing you learned that you found interesting or useful?