Polynomial Long Division Challenge

The video tutorial explains polynomial long division by dividing a polynomial by a binomial. It begins with setting up the division problem, followed by performing the division step-by-step. The process involves multiplying, subtracting, and bringing down terms to find the quotient and remainder. The tutorial concludes by representing the original problem as a quotient plus a remainder.

What is the first step in setting up the polynomial long division problem?

• Writing the divisor inside the division symbol

• Multiplying the leading terms

• Writing the dividend inside the division symbol

• Subtracting the polynomials

What do you multiply 2x squared by to get 6x cubed?

• 5x

• 4x

• 3x

• 2x

After finding the first term of the quotient, what is the next step?

• Adding the polynomials

• Dividing the polynomials

• Multiplying the first term of the quotient by the divisor

• Bringing down the next term

What is the result of subtracting 6x cubed plus 0x squared plus 3x from the original polynomial?

• 6x cubed plus 3x

• 10x squared plus 2x

• 10x squared minus 2x

• 6x cubed minus 3x

What do you multiply 2x squared by to get 10x squared?

• 2

• 4

• 3

• 5

What is the next step after finding the second term of the quotient?

• Multiplying the second term of the quotient by the divisor

• Adding the polynomials

• Bringing down the next term

• Dividing the polynomials

What is the remainder after completing the polynomial long division?

• 0

• 6x cubed plus 3x

• 10x squared minus 2x

• Negative 2x plus 3

How can the original problem be represented after the division is complete?

• As a sum of the quotient and the remainder

• As a quotient only

• As a product of the quotient and the divisor

• As a difference of the quotient and the remainder