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**Polynomial Division: Rewriting as a Product of Linear Factors** Given the polynomial \( p(x) = 5x^3 - 44x^2 + 61x + 14 \), we know it has a factor of \( (x - 7) \). **Objective:** Using polynomial division, rewrite \( p(x) \) as a product of linear factors. **Task:** Perform polynomial division to express \( p(x) \) in the form: \[ p(x) = (x - 7)(\text{Other factors}) \] \[ p(x) = \quad \boxed{\phantom{answer}} \]

**Polynomial Division: Rewriting as a Product of Linear Factors** Given the polynomial \( p(x) = 5x^3 - 44x^2 + 61x + 14 \), we know it has a factor of \( (x - 7) \). **Objective:** Using polynomial division, rewrite \( p(x) \) as a product of linear factors. **Task:** Perform polynomial division to express \( p(x) \) in the form: \[ p(x) = (x - 7)(\text{Other factors}) \] \[ p(x) = \quad \boxed{\phantom{answer}} \]

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Polynomial Division: Rewriting as a Product of Linear Factors** Given the polynomial \( p(x) = 5x^3 - 44x^2 + 61x + 14 \), we know it has a factor of \( (x - 7) \). **Objective:** Using polynomial division, rewrite \( p(x) \) as a product of linear factors. **Task:** Perform polynomial division to express \( p(x) \) in the form: \[ p(x) = (x - 7)(\text{Other factors}) \] \[ p(x) = \quad \boxed{\phantom{answer}} \]
Transcribed Image Text:**Polynomial Division: Rewriting as a Product of Linear Factors** Given the polynomial \( p(x) = 5x^3 - 44x^2 + 61x + 14 \), we know it has a factor of \( (x - 7) \). **Objective:** Using polynomial division, rewrite \( p(x) \) as a product of linear factors. **Task:** Perform polynomial division to express \( p(x) \) in the form: \[ p(x) = (x - 7)(\text{Other factors}) \] \[ p(x) = \quad \boxed{\phantom{answer}} \]
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Given: p ( x ) = 5 x3 - 44 x2+ 61 x + 14 has a known factor  x- 7 

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