Donnie Smith Mohacsy MAT 243 ONLINE A Fall 2017 Assignment Unit18 Binomial Theorem due 09/27/2017 at 11:59pm MST Answer(s) submitted: 1024 1280 640 160 20 1 1. (1 point) Find the coefficient of x7 in (1 + x)15 . Answer(s) submitted: 6435 (correct) 2. (1 point) The Binomial Theorem. Let 5 5 4 3 (score 0.5) 2 p(x) = (2x 1) = ax + bx + cx + dx + ex + f . Then a= b= c= d= e= f= 4. (1 point) Write the first four terms of the binomial expansion of (a 3b)14 . Answer: , , , , , and . Answer(s) submitted: (incorrect) 5. (1 point) What is the coefficient of x3 y11 in the expansion of (1x 1y)14 ? Answer(s) submitted: 32 -80 80 -40 10 -1 Answer(s) submitted: -364 (incorrect) 6. (1 point) Find the constant term in the expansion of (4x6 + 3x )14 . (correct) The constant term is 3. (1 point) Expand the expression using the Binomial Theorem: (4x 1)5 = x5 + x4 + x3 + x2 + Answer(s) submitted: (incorrect) x+ c Generated by WeBWorK, http://webwork.maa.org, Mathematical Association of America 1