Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
Simplifying the given polynomial expression is; -¹/₄x³ - ⁷/₂x² + ²¹⁴/₁₆x + ⁷/₂
How to Simplify Polynomial Expressions?
We want to simplify the polynomial expression;
(¹/₂x + 2)(¹/₂ - 2x) + (¹/₄x + ⁷/₂)
Let us expand the first bracket to get;
((¹/₂x * ¹/₂) + (2 * ¹/₂) - (¹/₂x * 2x) - (2 * 2x))
⇒ ¹/₄x + 1 - x² - 4x
⇒ 1 + ¹⁵/₄x - x²
Thus, our expression is now;
(1 + ¹⁵/₄x - x²)(¹/₄x + ⁷/₂)
This can be multiplied out to give;
¹/₄x + ¹⁵/₁₆x - ¹/₄x³ + ⁷/₂ + ¹⁰⁵/₈x - ⁷/₂x²
= -¹/₄x³ - ⁷/₂x² + ¹⁰⁷/₈x + ¹⁵/₁₆x + ⁷/₂
= -¹/₄x³ - ⁷/₂x² + ²¹⁴/₁₆x + ⁷/₂
Read more about Simplifying Polynomial Expressions at; https://brainly.com/question/723406
#SPJ1
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.
