Dividing two polynomials using synthetic division

The video tutorial explains synthetic division, focusing on handling missing terms in polynomials. It emphasizes the importance of setting up the polynomial correctly by including all place values and ensuring the divisor is a linear binomial. The process of synthetic division is demonstrated step-by-step, showing how to bring down coefficients and calculate the remainder. The tutorial concludes by interpreting the results, confirming that the divisor evenly divides the polynomial.

What is the first step in setting up a synthetic division problem?

• Add all coefficients together.

• Divide the constant term by the divisor.

• Identify the divisor and ensure it is linear.

• Multiply all coefficients by the divisor.

Why is it important to include all place values when rewriting the polynomial?

• To ensure the polynomial is in ascending order.

• To simplify the coefficients.

• To avoid missing any terms during division.

• To make the polynomial easier to read.

What is the purpose of rewriting the polynomial in descending order?

• To simplify the polynomial.

• To increase the degree of the polynomial.

• To make the division process faster.

• To ensure all terms are accounted for.

During synthetic division, what is the result when the remainder is zero?

• The polynomial is incorrect.

• The divisor is a factor of the polynomial.

• The divisor does not divide the polynomial evenly.

• The division process needs to be repeated.

What is the quotient of the division problem in the example?

• X^2 + 3X + 9

• X^2 - 3X + 9

• X^2 - 3X - 9

• X^2 + 3X - 9