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beks73 [17]
2 years ago
5

PLEASE HELP ASAP Prove that x+a is a factor of (x+a)^5 + (x+c)^5 + (a-c)^5

Mathematics
1 answer:
Brums [2.3K]2 years ago
6 0

P(x)=(x+a)^5 + (x+c)^5 + (a-c)^5

If x+a is a factor of P(x), then -a is a root of P(x).

Therefore

(-a+a)^5+(-a+c)^5+(a-c)^5=0\\\\0^5+(-1(a-c))^5+(a-c)^5=0\\\\(-1)^5(a-c)^5+(a-c)^5=0\\\\-(a-c)^5+(a-c)^5=0\\\\0=0

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Study the solutions of the three equations on the right. Then, complete the statements below. There are two real solutions if th
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Answer:

There are two real solutions if the radicand is

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There are no real solutions if the radicand is

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Step-by-step explanation:

ON MY DOG KIDS DIS RIGHT

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Prof. okamoto selects 3 different students to report on 3 different current events. if there are 27 students in the class, in ho
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Consider this option:
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Jamaica is considering buying either a car which goes 25 miles on 1 gallon of gas, or a truck that goes 10 miles on a gallon of
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5 0
2 years ago
Functions f(x) and g(x) are shown: f(x) = x2 g(x) = x2 − 8x + 16 In which direction and by how many units should f(x) be shifted
denis23 [38]

Answer:

Shift right by 4

Step-by-step explanation:

Given f(x)=x^2

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Using

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Where L= 4 and

NOTE:

POSITIVE L MAKES GRAPH SHIFT RIGHT

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4 0
2 years ago
What is the value of x in the figure below? In this diagram, ABD~CAD
olga55 [171]

Answer:

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