You cannot solve a theorem: you can prove the theorem or you can solve a question based on the remainder theorem.
Any rational number can be used in the remainder theorem: 4 does not have a special role.
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he dicovered it in greece
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
The Remainder Theorem states that for a polynomial ( f(x) ), if you divide it by a linear factor of the form ( x - c ), the remainder of this division is equal to ( f(c) ). This means that by evaluating the polynomial at ( c ), you can quickly determine the remainder without performing long division. This theorem is useful for factoring polynomials and analyzing their roots.
Remainder Theorem:- When f(x) is divided by (x-a) the remainder is f(a) Tor example:- f(x) x3-2x2+5x+8 divided by x-2 f(2) 8-8+10+8 = 18 So the remainder is 18 if there is no remainder then the divisor is a factor of the dividend.
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
F(a)
The number 4 is often used in solving problems with the Remainder Theorem because it represents a specific case where we evaluate polynomials at a given point. The Remainder Theorem states that when a polynomial ( f(x) ) is divided by ( x - c ), the remainder is ( f(c) ). By substituting ( c ) with 4, we can find the remainder of the polynomial when divided by ( x - 4 ). This is particularly useful in problems that require evaluating the polynomial at that specific point to determine the remainder.