Math117 Concept Checks
Math117 Concept Checks
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This 0 page Study Guide was uploaded by needhelp Notetaker on Monday November 16, 2015. The Study Guide belongs to a course at a university taught by a professor in Fall. Since its upload, it has received 15 views.
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Date Created: 11/16/15
Week 2 To determine if a polynomial is the difference of squares both expressions must be perfect squares ie X4 25 100x2 In addition one of the expressions must be negative and the other expression must be positive An example of a polynomial that is the difference of two squares is 144 x2 Week 4 When solving rational equations it is necessary to always perform a check because you may come up with an answer that is not a solution to the problem For example if you come up with an answer that makes the denominator a zero the equation is undefined which make your answer incorrect Week 6 The Pythagorean theorem states that quotIn any right angle triangle the square on the hypotenuse is equal to the square of the other two sidequot The Pythagorean theorem is used any time we have a right triangle we know the length of two sides and we want to find the third side Week 8 If you are looking at a graph of a quadratic equation how do you determine where the solutions are You have three potential cases for the solutions 1 the graph cuts the xaxis at two distinct points 2 the graph has a single point where it touches the xaxis 3 the graph never touches the xaxis In case 1 the equation has two distinct real roots In case 2 the equation has a repeated real root In case 3 the equation has a pair of complex roots one of which is the complex conjugate of the other The criterion that establishes which of these situations obtains is called the discriminant and it is the term inside the square root of the quadratic formula forax2bxc0b24ac If the discriminant is positive the equation has two real distinct roots If the discriminant is zero the equation has two repeated roots If it is negative the equation has two complex conjugate roots
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