Dividing two polynomials using synthetic division

The video tutorial explains how to solve a polynomial division problem using synthetic division, focusing on handling fractions. It begins with setting up the problem, applying the synthetic division algorithm, and performing necessary fraction operations. The tutorial concludes by finalizing the quotient and remainder and simplifying the result.

What is the first step in solving a polynomial division problem using synthetic division?

• Divide the polynomial by its highest degree term

• Add the coefficients together

• Multiply all coefficients by two

• Set the divisor equal to zero

When applying synthetic division, what should you do if a term is missing in the polynomial?

• Double the next term's coefficient

• Use a coefficient of zero for the missing term

• Ignore the missing term

• Subtract one from the degree of the polynomial

How do you handle fractions when performing synthetic division?

• Ignore fractions and use whole numbers

• Add fractions without finding a common denominator

• Multiply fractions directly across

• Convert all fractions to decimals

What is the remainder when dividing the polynomial by the divisor in this problem?

• 49/8

• 3/4

• 9/8

• 1/2

How can you simplify the expression to avoid having a fraction within a fraction?

• Add the numerator and denominator of the inner fraction

• Multiply the entire expression by the denominator of the inner fraction

• Subtract the inner fraction from the outer fraction

• Divide the numerator of the inner fraction by its denominator