Polynomial Division

If x³- 4x² + 2x - 5 is divided by x - 3, the remainder is ______.

• 0

• -1

• -2

• -8

What is the remainder when x¹¹ - 1 is divided by x + 1?

• 0

• -1

• -2

• -3

_______ is a numerical method used to for dividing a polynomial by a binomial of the form x - c.

• Long Division

• Synthetic Division

• Remainder Theorem

• Factor Theorem

If the remainder is zero when we divide two polynomials we say...

• Hallelujah

• the division is exact

• the division is exactly

• the division is easy

Find the quotient

Mathematical Equivalence

ON

Polynomial remainder theorem:
When we divide; P(x):(x-a) then...

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

• 2x² + 3x + 8 + -57/x-4

• 2x² - 13x - 56

• 2x² + 3x + 8 +7/x-4

• 2x² - 3x - 16 + -89/x-4

(2x³ + 7x² - 6x - 8) ÷ (x+ 4)

• 2x² - x - 2

• 2x³ - x² - 2x

• 2x² + 15x + 54 + 208/x+4

• 2x³ + 15x² + 54x + 208

Divide using synthetic division:

(2x³ + 7x² - 6x - 8) ÷ (x + 4)

• 2x² - x - 2

• 2x³ - x² - 2x

• 2x² + 15x + 54 + 208/x+4

• 2x³ + 15x² + 54x + 208