Dividing two polynomials using long division algorithm

The video tutorial explains how to divide a polynomial by another polynomial using the division algorithm. It starts with an introduction to the concept, followed by a step-by-step demonstration of dividing a cubic polynomial by a quadratic polynomial. The process involves dividing the leading terms, multiplying, and subtracting to find the remainder. The tutorial concludes with writing the final quotient and remainder, emphasizing the importance of handling remainders when the divisor's degree is larger than the dividend's.

What is the degree of the divisor in the given polynomial division problem?

• 1

• 2

• 4

• 3

When dividing the first term of the dividend by the first term of the divisor, what is the resulting term?

• 3X

• 8X

• X

• 4X

What operation is performed after multiplying the quotient term by the divisor terms?

• Multiplication

• Subtraction

• Division

• Addition

Why can't the division continue when the divisor's degree is greater than the remaining dividend?

• The dividend becomes zero

• The divisor is not a polynomial

• The remainder is negative

• The divisor's degree is too high

How is the final quotient expressed when there is a remainder?

• As a sum of terms

• As a single polynomial

• As a fraction with the remainder over the divisor

• As a product of terms