Polynomial Functions Long Division and Synthetic Division Remainder Theorem

Use the rational root theorem to separate the possible rational zeros from the not possible rational zeros. Then, use the remainder theorem to determine which possible zeros are actual zeros of the function.

Groups:

(a) possible rational zeros

,

(b) not possible rational zeros

,

(c) true rational zeros

,

(d) unused

Use the rational root theorem to separate the possible rational zeros from the not possible rational zeros. Then, use the remainder theorem to determine which possible zeros are actual zeros of the function.

Groups:

(a) Possible rational zeros

,

(b) Not possible rational zeros

,

(c) True rational zeros

,

(d) unused

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

• 0

• -3

• 9

• 5

• This is correct
• This is incorrect

2x³ - 5x² + 3x + 7 ÷ x - 2

• 2x³ - x² + x + 9

• 2x² - x + 1

• 2x² - x + 1 + 9/(x - 2)

• 2x² - 9x - 15 - 23/(x - 2)

2x³ - 5x² + 3x + 7 ÷ x - 2

• 2x³ - x² + x + 9

• 2x² - x + 1

• 2x² - x + 1 + 9/x-2

• 2x² - 9x - 15 - 23/x-2