Rectangular Coordinate System

May 28th, 2015
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I. Objectives-At the end of the session the students should be able to:A. define and describe the Rectangular Coordinate System; B. determine quadrants of coordinate system; C. specify points in the coordinate plane;

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Algebra : Linear Quadratic Equations - Practice Questions1. The question for the day is a sample practice problem in quadratic equation. Helps understand concepts related to roots of a quadratic equation and the nature of the roots of the quadratic equation. The question for the day is on finding a missing co-efficient from the topic quadratic equation..QuestionIf one of the roots of the quadratic equation x2+ mx + 24 = 0 is 1.5, then what is the value of m?1. -22.52. 163. -10.54. -17.5Correct Answer is-17.5. Correct Choice is(4)Explanatory AnswerWe know that the product of the roots of a quadratic equation ax2+ bx + c = 0 isIn the given equation, x2+ mx + 24 = 0, the product of the roots == 24.The question states that one of the roots of this equation = 1.5.If x1and x2are the roots of the given quadratic equation and let x1= 1.5.Therefore, x2== 16.In the given equation, m is the co-efficient of the x term.We know that the sum of the roots of the quadratic equation ax2+ bx + c = 0 is= -mSum of the roots = 16 + 1. 5 = 17 = -17.5.Therefore, the value of m = -17.52. Find the remainder when the polynomial x4- 3x2+ 7x - 10 is divided by x - 2(1) 8(2) -20(3) 18(4) 0Correct Choice is(1)and Correct Answer is8Explanatory AnswerBy remainder theorem: If a polynomial in one variable 'x' is divided by (x - a), where 'a' is any real number, then the remainder is the value of the polynomial at x = a.Therefore, remainde

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