Divide using either long division or synthetic division. (9 x^3-18 x^2-x+2) ÷(3 x+1)

Name: Problem 75, Chapter 8: Algebra 2
Uploaded: 2020-03-01T02:34:00-08:00
Duration: 3 min 13 s
Channel: Stephanie Schwartz
Description: Divide using either long division or synthetic division. (9 x^3-18 x^2-x+2) ÷(3 x+1)

step 1 Okay. So we're asked to divide expressions with variables. So we can't just divide like we do wi

Divide using either long division or synthetic division. (9...

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Key Concepts

Long Division of Polynomials

Long division of polynomials involves dividing the highest degree term of the dividend by the highest degree term of the divisor to obtain a term in the quotient. This term is then multiplied by the entire divisor, subtracted from the dividend, and the process is repeated with the resulting polynomial until the degree of the remainder is less than the degree of the divisor.

Synthetic Division

Synthetic division is a streamlined method for dividing a polynomial by a linear divisor of the form x - c. It simplifies the division process by focusing only on the coefficients, making it quicker and less error-prone than traditional long division. When the divisor is not in the required form, adjustments may be needed before applying synthetic division.

Polynomial Division

Polynomial division is a process for dividing one polynomial by another, resulting in a quotient and a remainder. It follows a similar structure to numeric long division and is used to simplify expressions, factor polynomials, and solve polynomial equations.

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