How and when to apply synthetic division of two polynomials

The video tutorial explains the concepts of divisor and dividend in polynomials, highlighting the difference between long division and synthetic division. It details the process of synthetic division, emphasizing the use of zeros instead of factors. The tutorial includes a step-by-step example of synthetic division, demonstrating how to find the quotient and remainder of a polynomial division.

What is a factor in the context of polynomial division?

• A number that divides the polynomial without a remainder

• A number that multiplies with the polynomial

• A number that adds to the polynomial

• A number that subtracts from the polynomial

What is the key difference between long division and synthetic division?

• Both use zeros

• Long division uses factors, synthetic division uses zeros

• Long division uses zeros, synthetic division uses factors

• Both use factors

In synthetic division, what must you do if a polynomial term is missing?

• Add a zero for the missing term

• Multiply the missing term by one

• Subtract the missing term

• Ignore the missing term

What is the first step in the synthetic division process?

• Get the freebie

• Multiply diagonally

• Subtract horizontally

• Add vertically

How do you determine the quotient in synthetic division?

• By adding all coefficients

• By multiplying all coefficients

• By interpreting the coefficients after division

• By subtracting all coefficients

What does the first number in the synthetic division result represent?

• The constant term

• The remainder

• The leading coefficient

• The divisor

What operation is performed after multiplying diagonally in synthetic division?

• Multiply again

• Divide by the divisor

• Subtract horizontally

• Add vertically