Question

using factor theoram factorise--
x^3+6x^2+11x+6
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Answer 1

Step-by-step explanation:

Let f(x) = x3 + 6x2 + 11x + 6

For x = -1

f(-1) = (-1)3 + 6(-1)2 + 11(-1) + 6

= -1 + 6 - 11 + 6 = 12 - 12 = 0

Hence, (x + 1) is a factor of f(x).

x3 + 6x2 + 11x + 6 = (x + 1)(x2 + 5x + 6)

= (x + 1)(X2 + 2x + 3x +6)

= (x + 1)[x(x + 2) + 3(x + 2)]

= (x + 1)(x + 2)(x + 3)

Answer 2

Answer:

Define a function Count_Word(W) in Python, where the parameter W is a word (string). The function should read each word of a text file STORY.TXT and count the occurrences of the word W in the text file STORY.TXT (non-case-sensitive search and count). The function is also expected to return the total number of occurrence of the word W in the textfile.