Divide 3 Different Polynomials Using Synthetic Division Step by Step

This video tutorial explains synthetic division through three examples, highlighting common mistakes and providing step-by-step guidance. It covers setting up polynomials, solving for X, plugging coefficients into the synthetic division box, and applying the synthetic division algorithm. The tutorial also explains how to interpret the quotient and make necessary adjustments to ensure the final answer is correct.

Why is it important to cover multiple examples of synthetic division?

• To learn polynomial addition

• To memorize the steps

• To understand different scenarios and avoid mistakes

• To practice polynomial multiplication

What is the first step in setting up synthetic division?

• Add the coefficients

• Multiply the polynomials

• Set the denominator equal to zero and solve for X

• Arrange polynomials in ascending order

When plugging coefficients into the synthetic division box, what should you do if a term is missing?

• Ignore the missing term

• Repeat the previous coefficient

• Use one as the coefficient for the missing term

• Use zero as the coefficient for the missing term

What is the first action in the synthetic division algorithm?

• Add the coefficients

• Bring down the first term

• Subtract the divisor from the first term

• Multiply the divisor by the first term

How do you interpret the result of synthetic division?

• As a single number

• As a list of numbers

• As a fraction

• As a polynomial with coefficients from the result

What should you do if the divisor's coefficient is not one?

• Ignore it

• Divide the quotient by the divisor's coefficient

• Multiply the quotient by the divisor's coefficient

• Add the divisor's coefficient to the quotient

What is the role of the remainder in the final polynomial quotient?

• It is placed over the divisor

• It is ignored

• It is subtracted from the constant term

• It is added to the constant term