Polynomial Long and Synthetic Division

Which would be better to use?

• Long division

• Synthetic division

What should you add to this problem? (2x³ + 5x² + 9) ÷ (x + 3)

• 0x⁴

• 0x³

• 0x²

• 0x

Evaluate responses using AI:

OFF

Answer explanation

p(x) ---> Dividend

d(x) ---> Divisor

q(x) ---> Quotient

r(x) ---> Remainder

Use synthetic division to evaluate the function for the indicated value of x.

Evaluate responses using AI:

OFF

Answer explanation

Remember to include all coefficients of the polynomial

(x²+4x-45)⁄(x+9) (use synthetic division)

• x+5

• -x+5

• -x-5

• x-5

solve using long division or synthetic division

• 2x² - x + 1 + 9/(x-2)

• 2x³ - x² + x + 9

• 2x² - x + 10

• x² - 2x + 1

solve using long division

• x + 5 + (2/2x - 4)

• x - 8

• x - 5 + (3/2x - 4)

• x + 5

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

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x+0

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

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

• 0

• -3

• 9

• 5