Question

The algebraic expression p(x) = 3x^4 +1 can become a polynomial:

a) for any value of a, b and c
b) a + b=c
c) b=0
d) b=√2

Answer 1

A polynomial p(x) in one variable x is a mathematical articulation in x of the structure p(x) = anx n + an−1x n−1 + ....... + a2x 2 + a1 x + a0, where a0, a1, a2, .... an are individually the coefficients of x 0 , x 1 , x 2 , .... x n and n is known as the level of the polynomial if a ≠ 0. Each anx n ; an−1x n−1 ; .... a0, is known as a term of the polynomial p(x)