Dividing Polynomials: Synthetic Division Techniques

What is one advantage of using synthetic division over long division?

• It is more accurate.

• It is faster.

• It can be used for all types of division.

• It requires fewer steps.

What must be true about the binomial divisor for synthetic division to be applicable?

• The coefficient of x must be 1.

• The coefficient of x must be 0.

• The binomial must be a trinomial.

• The binomial must have an exponent.

In the first example, what is the zero of the divisor x - 3?

• -3

• 3

• 1

• 0

What is the quotient of the division problem X^3 - 2X^2 - 5X + 6 divided by X - 3?

• X^2 + 2X - 1

• X^2 - 2X + 1

• X^2 + X - 2

• X^2 - X + 2

In the second example, what is the zero of the divisor x + 2?

• 2

• -2

• 1

• 0

What is the quotient of the division problem X^3 + 5X^2 + 7X + 2 divided by X + 2?

• X^2 + 5X + 1

• X^2 + 4X + 1

• X^2 + 3X + 1

• X^2 + 2X + 1

In the third example, what is the zero of the divisor x + 5?

• 0

• -5

• 5

• 1

What is the remainder when dividing 3X^2 + 7X - 20 by X + 5?

• 10

• 15

• 20

• 25

In the fourth example, what is the zero of the divisor x - 4?

• 1

• -4

• 4

• 0

What is the quotient of the division problem 7X^3 + 6X - 8 divided by X - 4?

• 7X^2 + 30X + 118

• 7X^2 + 28X + 118

• 7X^2 + 30X + 120

• 7X^2 + 28X + 120