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Binomial Theorem, Polynomials and Distribution Problems - Examples | MATH 180, Study notes of Mathematics
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How many terms are in the binomial expansion of (2x + 3)5? 4 5 6 7 - correct answerC.) 6 The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube? - correct answerA.) 64x6 + 144x4 + 108x2 + 27 What is the coefficient of the last term in the binomial expansion of (x + 1)9? 0 1 9 10 - correct answerB.) 1 What is the coefficient of the third term in the binomial expansion of (a + b)6? 1 15 20 90 - correct answerB. 15 What is the coefficient of the x4-term in the binomial expansion of (x + 3)12? - correct answerD.) 12C8(3) What is the coefficient of the x5y5-term in the binomial expansion of (2x - 3y)10? - correct answerB.) 10C5(2)5(-3) What is the second term in the binomial expansion of (2r - 3s)12? - correct answerA.) - 73,728r11s Which expression represents the fourth term in the binomial expansion of (e + 2f)10? 10C3(e7)(2f) 10C3(e7)(f) 10C4(e6)(2f)
10C4(e6)(f)4 - correct answerA.) 10C3(e7)(2f) Which statement about the binomial expansion of (x2 - x)9 is true? - correct answerD.) The last term is -x9. Which statement about the simplified binomial expansion of (a + b)n, where n is a positive integer, is true? - correct answerThe values of nC0 and nCn are equal to 1.