Factors of Polynomials and Synthetic Divisions

Identify the missing term to complete the solution.

• 28

• 38

• 48

• 58

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

• Cam wrote the remainder incorrectly.

• Cam did not use a zero place holder for the x³ term.

• Cam added instead of subtracting the rows.

• Cam should have used -2 as his division since the factor was x-2.

• NO

• YES

What is the proper way to write the answer for the following problem?

Identify the missing term to complete the solution.

• -2

• 2

• -3

• 3

Divide\(2x^3+4x^2-5\) by \(x+3\) using synthetic division

Use synthetic division

• x - 7

• x² - 7

• x + 7

• x² + 3x - 54