pls explain me remainder theorem? in polynomials .
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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.
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It states that the remainder of the division of polynomial f(x) by a linear polynomial x-a is equal to f(a)
For any polynomial function of x f(x)
The remainder term when dividing f(x) by (x-a) is f(a)
ex. f(x) = 3 x^4 + 5 x^3 -2 x^2 + 7x -2 when divided by x-2
the remainder = f(2) = 48 + 40 + 14 -2 = 100
If the remainder = 0, the (x-a) is a factor & a is a root for f(x)
The remainder term when dividing f(x) by (x-a) is f(a)
ex. f(x) = 3 x^4 + 5 x^3 -2 x^2 + 7x -2 when divided by x-2
the remainder = f(2) = 48 + 40 + 14 -2 = 100
If the remainder = 0, the (x-a) is a factor & a is a root for f(x)
Similar questions
The remainder term when dividing f(x) by (x-a) is f(a)
ex. f(x) = 3 x^4 + 5 x^3 -2 x^2 + 7x -2 when divided by x-2
the remainder = f(2) = 48 + 40 + 14 -2 = 100
If the remainder = 0, the (x-a) is a factor & a is a root for f(x)