SYTHENTIC DIVISION mistakes

The video tutorial covers three common mistakes in synthetic division. It emphasizes the importance of setting up synthetic division correctly, highlights when synthetic division is not applicable, and explains how to handle fractions in the process. The tutorial also discusses how to interpret the final quotient and addresses common errors students make. The video aims to help students avoid these pitfalls and improve their understanding of synthetic division.

What is the first step to ensure correct setup in synthetic division?

• Start with the remainder.

• Include all coefficients and set the linear divisor to zero.

• Use the linear factor directly.

• Ignore zeros in place values.

When is synthetic division not applicable?

• When the divisor's power is greater than one.

• When the divisor is a constant.

• When the divisor is a linear factor.

• When the polynomial is quadratic.

What is a suggested method if the divisor's power is not one?

• Use synthetic division twice.

• Use long division.

• Ignore the divisor.

• Multiply the divisor by itself.

How should you handle a divisor with fractions in synthetic division?

• Ignore the fractions.

• Multiply the entire equation by the fraction.

• Adjust the quotient by dividing by the divisor's coefficient.

• Add the fractions to the remainder.

What should you do if the product of the quotient and divisor does not match the original polynomial?

• Recalculate the remainder.

• Divide the quotient by the divisor's coefficient.

• Add more terms to the quotient.

• Ignore the discrepancy.