How to use synthetic division to divide polynomials

The video tutorial covers synthetic division, emphasizing its use when the divisor is a linear binomial. It explains the concept of factors, the zero product property, and how to solve equations by finding zeros or X intercepts. The tutorial provides a detailed setup and execution of synthetic division, highlighting common mistakes and the importance of arranging coefficients in descending order.

What is a necessary condition for using synthetic division?

• The dividend must be a quadratic polynomial.

• The dividend must be a constant.

• The divisor must be a linear binomial.

• The divisor must be a quadratic binomial.

What does the zero product property help you find?

• The zeros or solutions of an equation

• The degree of a polynomial

• The factors of a polynomial

• The coefficients of a polynomial

When setting up synthetic division, what must you ensure about the order of coefficients?

• They must be in random order.

• They must be in ascending order.

• They must be in descending order.

• They must be in alphabetical order.

What is the first step in the synthetic division process?

• Multiply the first coefficient by the zero.

• Subtract the first coefficient from the zero.

• Add the first coefficient to the zero.

• Bring down the first coefficient as a freebie.

In synthetic division, what do you do after multiplying on the diagonal?

• Divide by the zero.

• Add on the vertical.

• Multiply again on the diagonal.

• Subtract on the vertical.

What indicates that a divisor is not a factor of the dividend in synthetic division?

• The remainder is zero.

• The remainder is non-zero.

• The quotient is zero.

• The quotient is non-zero.

What is the role of the remainder in synthetic division?

• It indicates whether the divisor is a factor.

• It is always subtracted from the quotient.

• It is always added to the quotient.

• It determines the degree of the polynomial.