Dividing Polynomials by Long Division and Synthetic

is a method of dividing polynomials which follows the same process in dividing whole numbers.

• REMAINDER THEOREM

• LONG DIVISION

• SYNTHETIC DIVISION                            

•  COEFFICIENT                    

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.

(4x² - 24x + 35) ÷ (2x - 5)

• 2x - 7

• 2x - 12

• 2x + 12

• 2x + 7

• -2x

• 2x

• -7x

• 7x

If 𝒙² + 𝟑𝒙 + 𝟕 is divided by 𝒙 + 𝟐, then what is the remainder?

What is the first step in solving using synthetic division

• Factor the Polynomial

• Divide by 7

• Solve for n in the denominator

• Solve for n in the numerator

What is the remainder for the question

• Multiply by 22

• Multiply by x

• Add 18x and -4x

• Subtract 18x and -4x