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Polynomials and Factoring Created by M. LaSpina May 24, 2017 Mathematicians Archimedes – one of the greatest mathematicians of all time for his work in geometry and integral calculus Sofia Kovalevskaya – contributions to the theory of differential equations Lady Lovelace – worked with the analytic engine and how it could be programmed Rene Descartes – his application of algebra to geometry developed the study of Cartesian geometry Albert Einstein - contributed more than any other scientist to the modern vision of physical reality Pythagoras - was a Greek philosopher who made important developments in mathematics, astronomy, and the theory of music Blaise Pascal – French mathematician who developed the foundation for the theory of probability Florence Nightingale – her love of statistics proved invaluable to her work as a nurse Euclid - the leading mathematics teacher of the historic period preceding the Middle Ages in Europe Game board 1 Archimedes Sofia Kovalevskaya Lady Lovelace Descartes Einstein Pythagoras Pascal Florence Nightingale Euclid RESET Archimedes’ Question What is the area of the rectangle? 2 3a b 2 2 4a b Response Archimedes’ Response 4 3 12a b Agree Disagree Sofia’s Question When do you use positive exponents in scientific notation? Response Sofia’s Response When the number is less than 1. Agree Disagree Lady Lovelace’s Question Is the following expression a polynomial? 7 y x x 2 4 x 3 Response Lady Lovelace’s Response It is not a polynomial because y over x squared is not a monomial. Agree Disagree Descartes Question How do you check your answer when you subtract two polynomials? Response Descartes Response You multiply your answer with the polynomial being subtracted. Agree Disagree Einstein’s Question Name the property used to simplify 3x 5 x 2 y 4 z 2 Response 2 Einstein’s Response The distributive property. Agree Disagree Pythagoras’ Question Explain how the square of a difference and the square of a sum are different. Response Pythagoras’ Response The middle terms have different signs. Agree Disagree Pascal’s Question If the GCF of two numbers is 1, must the numbers be prime? Response Pascal’s Response No, the GCF of 4 and 9 is 1, but neither number is prime. Agree Disagree Florence’s Question Do the numbers 11, 12 and 13 form a Pythagorean triple? Response Florence’s Response Yes, because 11 + 12 + 13 = 36 and the square root of 36 is the whole number 6. Agree Disagree Euclid’s Question Describe the relationship between multiplying polynomials and factoring polynomials. Response Euclid’s Response Multiplying and factoring polynomials are inverse operations. Agree Disagree You Are Correct Back to Game You Are Not Correct Back to Game