Algebra Polynomials Function

Introduction of algebra polynomials function:

In the algebra polynomials functions the algebraic expression is look y=an is said to be monomial in y here a is the constant number, y is the variable  and n is the positive integer. The number a is said to be the coefficient of yn and n is the degree of monomial.

Example of polynomial:  7x3 is a monomial in x of degree 3 and 7 is the coefficient of x3. In monomial the sum of finite number in x is called a polynomial in x.

Algebra polynomial function is denoted by the function p(x), here p is the function and x is the variable.

Example of algebra polynomials function:

P(x) = ax^5+bx^4+cx^3+dx^2 +ex + f here we need to find the algebra polynomials function of p(5). X is the variable  and  other alphabet are constant.

Problem on Algebra Polynomials Function:

Problems1:. Find the functions of f(3). f(x) = x^3 +2x^2 + 2x + 4

Solution

Given function f(x)

f(x) = x^3 +2x^2 + 2x + 4 find the f(3).

Here the value of x is given as 3

f(3) = 33 + 2*32 + 2*3 +4

f(3) = 27 +18+ +6 +4 In this step 33 is calculated  as 27 and 3 square is 9

f(3) = 55.

The answer for algebra polynomials functions  f(3) = 55.


Problems Using the Algebra Polynomials Function with High Powers:

Problems 1: Find the fucntions f(5). f(x) = x5+x^4 +x^3 +2x^2 + 2x + 4

Solution

Given the function of  f(x)

f(x) = x5+x^4+x^3 +2x^2 + 2x + 40 find the  function of f(5).

Here the value of x is given as 5

f(5) =55+54+ 53 + 2*52 + 2*5 +40.

f(5)=3125+625+125+50+10 +40 In this step5 power 5 is 3125, 5 power 4 is 625, 5cube is 125 and calculated in the function.

f(5) = 3975.

The answer for algebra polynomials functions f(5) = 3975.