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.
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.
