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.
Germain's Theorem is about Vibrating Elastic Plates.
"thales" has given this bpt theorem.
A postulate is assumed to be true while a theorem is proven to be true. The truth of a theorem will be based on postulates.
theorem
The theorem states "If two angles are both supplementary and congruent, then they are right angles."
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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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.
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 Remainder Theorem states that if you divide a polynomial ( f(x) ) by a linear divisor of the form ( x - c ), the remainder is simply ( f(c) ). To find the remainder, substitute the value ( c ) into the polynomial ( f(x) ) and calculate the result. The output will be the remainder of the division. This method significantly simplifies finding remainders without performing long division.
The remainder is not zero so y-3 is not a factor of y^4+2y^2-4