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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Question
Find the discriminant of the following polynomials to determine which are
factorable. Then completely factor it
Transcribed Image Text:### Quadratic Expressions
Below are three different quadratic expressions. Each expression is a polynomial of degree 2:
**a.** \( 4x^2 - 3x \)
This expression represents a quadratic equation where the coefficient of \( x^2 \) is 4 and the coefficient of \( x \) is -3. There is no constant term.
**b.** \( 24x^2 - 2x + 15 \)
Here, the quadratic expression includes a coefficient of 24 for \( x^2 \), a coefficient of -2 for \( x \), and a constant term of 15.
**c.** \( 12x^2 - 26x - 16 \)
This quadratic expression has a coefficient of 12 for \( x^2 \), a coefficient of -26 for \( x \), and a constant term of -16.
Each of these expressions can be analyzed further to find their roots, their vertex form, or to graph them to visualize their parabolic shapes.
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