IF f(x)=x^2+2x+3,then find f(x+2)
Answers
Answer- The above question is from the chapter 'Polynomials'.
Let's know about polynomials first.
Polynomial- It is an algebraic expression involving use of variables and constants.
p(x)- It is used to denote a polynomial. It is read is 'Polynomial in x'.
Polynomials can be classified on two basis:
1) Number of terms
E.g.- Polynomial with one term is called monomial.
Two terms- binomial
Three terms- trinomial
2) Power of variable
E.g.- Polynomial with degree 1 is called linear polynomial.
degree 2- quadratic polynomial
degree 3- cubic polynomial
degree 4- bi-quadratic polynomial
Given question: If f(x) = x² + 2x + 3 , then find f(x + 2).
Solution: f(x) = x² + 2x + 3
Substituting the values, we get,
f(x + 2) = (x + 2)² + 2(x + 2) + 3
f(x + 2) = x² + 4x + 4 + 2x + 4 + 3
f(x + 2) = x² + 6x + 11
∴ f(x + 2) = x² + 6x + 11.
Answer:
take the answer closely
