1. Select the answer that best completes the given statement. is called a (1) . coefficient. (1) O fraction O trinomial O binomial O monomial 2. Select the answer that best completes the given statement. = (1) (1) 0 r! n!(n -r)! n! O r!(n - r)! n! O (n - !)! O r!3. Fill in each blank so that the resulting statement is true. ( x + 6) = 5 . 6+ X.6 O Fill in each blank. (x +6)5 5 _x . 6" + 0 X5 + (1 ) x4 - 6+ (2) x3. 62 + (3) x2.63 + (4) (5) (1) (2) O (3) O 5 O (4) O O 5 5 O O O O N NO O O O O O O O A (5) O O A4. Select the correct choices that completes the statements below. (a + b)" = an -2b2 + (3) an -by + ... + (4) The sum of the exponents on a and b in each term is (5) (1) (2) (3) (4) (5) 0 2n. O 2 On - 1. On+ 1. n n ni O O n O O On. n n n O O N = O O 3 3 n O https://xlitemprod.pearsoncmg.com/api/v1/print/highered 2/5 12/4/22, 1:03 AM Sec10.5-Adriana Lumbreras 5. Select the answer that best completes the given statement. The (r + 1)st term of the expansion of (a + b)" is ?|(1) (1) O ab'. Oab.6. Evaluate the expression. 10 10 10 10 7. Evaluate the given binomial coefficient. 100 100 413. Find the fifth term of the binomial expansion. (4x + y)' The fifth term of the binomial expansion is (Simplify your answer.) 14. Find the fifth term in the expansion of (x - 2)'. The fifth term is . (Simplify your answer.) 15. Find the term of the binomial expansion containing y*2. ( x 5 + y)' The term of the binomial expansion containing y 12 is (Simplify your answer.) 16. Find the term in the expansion of (x2 + 2) 8 containing x" as a factor. The term in the expansion of (x2 + 2) 8 containing x" as a factor is (Simplify your answer.)17. Prove that Rewrite using the definition of the binomial coeliclient. Now, rewrite using the definition of the binomial coeficient. (n -r)![n - (C What must be done to make the rewritten expression for ner from the previous step equal to the rewriten expresion for | " 2 O A. Expand the factorial in the factor on the left in the denominator. O B. Subtract to simplify the factor on the right in the denominator. O C. Multiply the factors in the denominator. O D. Evaluate the factorial in the numerator. Since the rewritten expression for nor ( 2 ) be simplified to match the rewritten expression for (3) been proven that () - , using the definition ofthe binomialonelichen. (1) n! (2) O cannot (3) O has n!(r - n) can O has not n! r!(n - m)! O r!(n- r)! r! O n!(r- n)