5-3 Study Guide And Intervention Dividing Polynomials (2026 Edition)

Write $k$ (3) to the left. Write the coefficients of the dividend to the right. Remember placeholders!

Subtract the result from the dividend.

Writing coefficients as ( 1, 2, 1 ) (forgetting the ( x^2 ) term). 5-3 study guide and intervention dividing polynomials

. This is an excellent way to check your work. If you use synthetic division and get a remainder of 10, plugging into the original equation should also give you 10. Summary Checklist for Success Check for standard form: Are exponents in descending order? Use placeholders: Did you include zeros for missing terms? Write $k$ (3) to the left

Divide ( (x^3 - 3x^2 - 10x + 24) \div (x - 4) ). Subtract the result from the dividend

The first section of the usually focuses on Long Division. This method is an extension of the long division learned in elementary arithmetic. It applies to all polynomial division problems, regardless of the degree of the divisor.