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Answers
Answer:
Hence, remainder when x^3 + 1 is divided by x + 1 = 0
Step-by-step explanation:
Given,
Dividend, f(x) = x^3 + 1
Divisor, g(x) = x + 1
To find : Remainder when f(x) is divided by g(x).
Solution :
Since, x + 1 is the divisor.
So by using reminder theorem, we get,
x = -1
By applying the value of x = -1 in f(x) , we get,
=> f(x) = (-1)^3 + 1
=> (-1) + 1 = 0
=> 0
Hence, remainder when x^3 + 1 is divided by x + 1 = 0
'A piece of Supplementary Counsel' :-
• Remainder Theorem = In algebra, the polynomial remainder theorem or little Bézout's theorem is an application of Euclidean division of polynomials. It states that the remainder of the division of a polynomial by a linear polynomial is equal to In particular, is a divisor of if and only if a property known as the factor theorem.
• Factor Theorem = In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem. The factor theorem states that a polynomial has a factor if and only if.
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