Lesson1.pdf - 2013 JKUAT SODeL JOMO KENYATTA UNIVERSITY OF AGRICULTURE TECHNOLOGY JJ II J I J DocDoc I Back Close SCHOOL OF OPEN DISTANCE AND eLEARNING

# Lesson1.pdf - 2013 JKUAT SODeL JOMO KENYATTA UNIVERSITY OF...

• Notes
• 38
• 100% (1) 1 out of 1 people found this document helpful

This preview shows page 1 - 7 out of 38 pages.

JKUAT SODeL 2013 JJ II J I J Doc Doc I Back Close JOMO KENYATTA UNIVERSITY OF AGRICULTURE & TECHNOLOGY SCHOOL OF OPEN, DISTANCE AND eLEARNING P.O. Box 62000, 00200 Nairobi, Kenya E-mail: [email protected] SMA 2104 Mathematics for Sciences LAST REVISION ON May 10, 2013 Subscribe to view the full document.

JKUAT SODeL 2013 JJ II J I J Doc Doc I Back Close SMA 2104 Mathematics for Sciences This presentation is intended to covered within one week. The notes, examples and exercises should be supple- mented with a good textbook. Most of the exercises have solutions/answers appearing elsewhere and accessible by clicking the green Exercise tag. To move back to the same page click the same tag appearing at the end of the solu- tion/answer. Errors and omissions in these notes are entirely the re- sponsibility of the author who should only be contacted through the Department of Curricula & Delivery (SODeL) and suggested corrections may be e-mailed to [email protected] . JKUAT: Setting trends in higher Education, Research and Innovation 0 JKUAT SODeL 2013 JJ II J I J Doc Doc I Back Close SMA 2104 Mathematics for Sciences LESSON 1 Quadratic equations Learning outcomes Upon completing this topic, you should be able to: Solve quadratic equations by factoring Solve quadratic equations using the method of extraction of roots Determine the nature of the solutions to a quadratic equa- tion Understand the logic underlying the method of completing the square Solve a quadratic equation using the method of completing JKUAT: Setting trends in higher Education, Research and Innovation 1 Subscribe to view the full document.

JKUAT SODeL 2013 JJ II J I J Doc Doc I Back Close SMA 2104 Mathematics for Sciences the square Understand the derivation of the quadratic formula Solve quadratic equations using the quadratic formula JKUAT: Setting trends in higher Education, Research and Innovation 2 JKUAT SODeL 2013 JJ II J I J Doc Doc I Back Close SMA 2104 Mathematics for Sciences 1.1. Introduction An expression of the form ax 2 + bx + c , where a, b and c are constants and x is a variable is called a quadratic expression. The highest power of x is 2. A quadratic expression is a product of two linear binomials. e.g. ( x + y )( a + b ) = ax + ay + bx + by . If the two binomials involve one variable say x i.e. They are of the form ( x + a )( x + b ), where a and b are known values. The product is ( x + a )( x + b ) = x 2 + ax + bx + ab = x 2 + x ( a + b ) + ab JKUAT: Setting trends in higher Education, Research and Innovation 3 Subscribe to view the full document.

JKUAT SODeL 2013 JJ II J I J Doc Doc I Back Close SMA 2104 Mathematics for Sciences In this case we note that the coefficient of x in the expanded form is the sum of the constants in the factors and the term free from x is the product of the constant terms in the two factors. To factorise a quadratic expression as x 2 + px + q , one need to determine factors of q whose sum is p . Suppose these two factors are u and v .  • Summer '19
• Math, Quadratic equation, Research and Innovation

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern

Ask Expert Tutors You can ask 0 bonus questions You can ask 0 questions (0 expire soon) You can ask 0 questions (will expire )
Answers in as fast as 15 minutes