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Pie
2 years ago
15

5. Which polynomial is equal to (x5 + 1) divided by (x + 1)?

Mathematics
1 answer:
Mkey [24]2 years ago
5 0

Answer:

B  x^4-x^3+x^2-x+1

Step-by-step explanation:

Given,

Dividend = (x^5+1)

Divisor = (x+1)

Step 1: First The dividend is (x^5+1) and Divisor is (x+1) when divided first time the quotient will be x^4 and remainder will be -x^4+1

Step: 2 Now the new dividend is -x^4+1 and Divisor is (x+1)  when divided the quotient will be x^4-x^3 and remainder will be x^3+1

Step: 3 Now the new dividend is x^3+1 and Divisor is (x+1)  when divided the quotient will be x^4-x^3+x^2 and remainder will be -x^2+1

Step: 4 Now the new dividend is -x^2+1 and Divisor is (x+1)  when divided the quotient will be x^4-x^3+x^2-x and remainder will be x+1

Step: 5 Now the new dividend is x+1 and Divisor is (x+1)  when divided the quotient will be x^4-x^3+x^2-x+1 and remainder will be 0.

Hence When the polynomial (x^5+1) is divided by  (x+1) the answer or quotient will be equal to  x^4-x^3+x^2-x+1 and remainder will be 0.

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