Polynomial Long Division Algebra

x³-3x²-10x+24 ÷ x+3

• x²-7x+5

• x-8

• x²-6x+8

• x+9

-2x²+4x+48 ÷ x+4

• -2x+12

• 2x+12

• -4x+9

• 4x+9

Use synthetic division:
(2x³ - 5x - 7) ÷ (x - 2)

• 2x³ - 4x² + 3x - 13

• 2x³ + 4x² +3x - 1

• 2x² - 4x + 3 - 13/x-2

• 2x² + 4x + 3 - 1/x-2

Which of the following best describes long division in algebra?

• A method used to divide numbers without remainders

• A technique used to divide polynomials

• A process used to simplify expressions without variables

• A rule used to factor quadratic equations

The Remainder Theorem states that when a polynomial f(x) is divided by (x-c), the remainder is:

• F'(C)

• C^2

• f(c)

• Zero

What is the purpose of synthetic division?

• To divide two polynomials quickly, especially when the divisor is linear

• To find the square root of a polynomial expressions

• To simplify polynomials into factored form

• To multiply two polynomials

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

• 4x - 2

• 4x + 2

• 4x - 2 + (1/3x - 1)

• 4x + 2 + (1/3x - 1)