Dividing Polynomials with Long Division

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

• 0

• -3

• 9

• 5

Use long division algorithm.

• 4x - 2

• 4x + 2

• 2x - 4

• 2x + 4

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

• REMAINDER THEOREM

• LONG DIVISION

• SYNTHETIC DIVISION                            

•  COEFFICIENT                    

• 2x³ + 3x + (7/x-4)
• 2x² + 3x + 8 + (7/x-4)
• 2x² + 3x + 8
• 2x² - x + 10 + (6/x-4)

• x - 7
• x² - 7
• x + 7
• x² + 3x - 54

• x + 5 + (2/2x - 4)
• x - 8
• x - 5 + (3/2x - 4)
• x + 5

What is the quotient when (10n² - 37n - 12) is divided by (n - 4)?

• (10n - 3)

• (3n - 10)

• (10n + 3)

• (3n + 10)

If you are missing a term in your polynomials (both dividend and divisor), you must put a zero as a coefficient place holder for that term.

• True

• False

• Only for the dividend

• Only for the divisor

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

• 3   0   -4   6   1

• 6   -4   3   1   0

• 6   -4   0   3   1

• -6   4   0   -3   -1

Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.

• No, (x-2) is  not a factor. The remainder is zero.

• Yes, (x-2) is a factor. The remainder is zero.

• No, (x-2) is  not a factor. There is a remainder.