Question

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Answer 1

Answer:

(1). x³+1 = x³+1³

a³+b³= (a + b) (a² - ab + b²)

= (x+1)(x²-x×1+1²)

(2). . 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.

Step-by-step explanation:

fun fact :

In algebra, the polynomial remainder theorem is also known as little Bézout's theorem is an application of Euclidean division of polynomials.

JAI SHREE KRISHNA

Answer 2

Answer:

Step-by-step explanation:

x³+1 = x³+1³

a³+b³ = (a+b)(a²+b²-ab)

      = (x+1)(x²+1-x)      

reminder theorem :

Let p(x) be any polynomial of degree greater than or equal to 1 and let α be any real number. If p(x) is divided by the polynomial (x - α), then the remainder is p(α).