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MatroZZZ [7]
3 years ago
7

Given that f(x)=5x^3+ax^2-4x-2 and that (x-1) is a factor of f(x), find a.

Mathematics
1 answer:
stepladder [879]3 years ago
5 0

Answer:

a=1

Step-by-step explanation:

Because x-1 is factor of f(x)

for x1=1, f(1)=0, then

f(1)=5*1^3+a*1^2-4*1-2=0

5*1+a*1-4-2=0

5+a-6=0

a-1=0

a=1

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A student's course grade is based on one midterm that counts as 15% of his final grade, one class project that counts as 15% of
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Overall final score = 77.75% ; Grade = C.

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The approach to solve this question is to realize that the marks have to be converted into the respective percentages of the whole course. This means that the marks of all the components have to be normalized according to the grading breakdown.

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This means that the student received 14.55 marks in the project out of 15.

Similarly for other components:

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Homework Marks = 82/100. Weightage = 35%. So 82*35/100 = 28.7/35.

Finals Marks = 63/100. Weightage = 35%. So 63*35/100 = 22.05/35.

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Aggregate Percentage = 14.55 + 12.45 + 28.7 + 22.05 = 77.75%.

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3 years ago
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