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Course Home Do Homework-Constance Sloan - Microsoft Edge omeworkaspxthomeworkid 4713185318questiond-38dfushed-falsecld 4912025centerwinyes Constance Sloan / Sp18 MAT 101 H015 College Algebra Kelly th Homework: Unit 6 Post-Homework Score: 0 of 1 pt 3of9(acomplete) HW Score: 77 oes X 4.4.13 Find a polynomial hnction of dyee 7 with-1.s a zero of mutpkity 3. 0 as a zero of mtpicny 3 and ,azero ofmutbkey1 The function is "L (Use 1 for the leading coefficlent ) Emet your answer n eanserr 2 3 4 5 6 7 8 9

Explanation / Answer

p as a zero of multiplicity q means : f(x) = (x-p)q

thus, in given question

degree of function is = 7

-1 as a zero of multiplicity 3 means {x-(-1)}3

0 as a zero of multiplicity 3 means (x-0)3

1 as a zero of multiplicity 1 means (x-1)1

thus , function is :

f(x) =  (x+1)3 .x3. (x-1)

f(x) = x3.(x-1)(x+1)3   (answer)

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