Learn How to Factor Completely a Polynomial Given One Factor Using Synthetic Division

What is the prime factorization of the number 12?

• 6 * 2

• 3 * 4

• 2 * 2 * 3

• 12 * 1

What does it mean if a polynomial has a factor?

• The polynomial is divisible by the factor with a remainder of 1.

• The polynomial is divisible by the factor with a remainder of 0.

• The polynomial cannot be divided by the factor.

• The factor is a multiple of the polynomial.

Which method can be used to determine if X - 1 is a factor of a polynomial?

• Prime factorization

• Graphical method

• Long division

• Synthetic division

What is the result of factoring the polynomial X^2 + 2X - 8?

• (X + 4)(X - 2)

• (X - 4)(X + 2)

• (X + 2)(X - 2)

• (X + 4)(X + 2)

How do you find the zeros of a polynomial once it is completely factored?

• Set each factor equal to 1

• Set each factor equal to 0

• Multiply all factors together

• Divide the polynomial by its factors

What is the degree of a polynomial with three solutions?

• One

• Two

• Three

• Four

What is the end behavior of a polynomial with an odd degree and a positive leading coefficient?

• Rises left, rises right

• Falls left, falls right

• Rises left, falls right

• Falls left, rises right