Dividing Polynomials with Long Division Techniques

The video tutorial begins with a review of long division using numbers, explaining key terms like dividend, divisor, and quotient. It then outlines the steps of long division: divide, multiply, subtract, and bring down. The tutorial transitions to polynomial long division, demonstrating that the process is similar to numerical division but involves polynomials. It emphasizes the importance of writing polynomials in standard form and addresses how to handle remainders. The tutorial concludes by verifying the division process through multiplication.

What is the term used for the number that is being divided?

• Dividend

• Product

• Quotient

• Divisor

What do you call the result of a division operation?

• Difference

• Sum

• Quotient

• Multiplier

In the division example given, what is the quotient when dividing 237 by 2?

• 118.5

• 119

• 118

• 189

How do you verify the result of a division?

• Multiply the quotient by the divisor

• Divide the dividend by the quotient

• Subtract the quotient from the dividend

• Add the divisor to the quotient

What is the first step in polynomial long division?

• Multiply

• Subtract

• Divide

• Bring down

When subtracting polynomials, what must you remember to do with the negative sign?

• Convert it to a positive sign

• Only apply it to the first term

• Distribute it to both terms

• Ignore it

What is the quotient in the polynomial division example?

• 2x + 5

• x^2 + 5

• 2x^2 - 5

• x + 5

How do you handle a polynomial not in standard form before dividing?

• Multiply each term by the divisor

• Rearrange it into ascending order

• Leave it as is

• Rearrange it into standard form

What signifies the end of the polynomial long division process?

• When the divisor cannot divide the next term

• When the quotient is a whole number

• When there are no more terms to bring down

• When the remainder is zero

How is the remainder represented in the final answer of a polynomial division?

• Written over the divisor

• Multiplied by the divisor

• Subtracted from the quotient

• Added to the quotient