Question

Evaluate each expression for $x=3$ $$ 3 x^{2}-3 x+4 $$

   Evaluate each expression for $x=3$
$$
3 x^{2}-3 x+4
$$

Beginning Algebra

Beginning Algebra

Margaret L. Lial,… 11th Edition

Chapter 5, Problem 100

Instant Answer

Solved by Expert Brandon Fox

06/21/2020

Step 1

The equation becomes $3(3)^2 - 3(3) + 4$. Show more…

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Evaluate each expression for $x=3$ $$ 3 x^{2}-3 x+4 $$

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Key Concepts

Substitution

Substitution is the process of replacing a variable with a given value. In this context, the value x = 3 is substituted into every instance of x within the expression, which is a fundamental technique in algebra for evaluating expressions and solving equations.

Order of Operations

The order of operations is a set of rules that determine the sequence in which the parts of an algebraic expression are evaluated. For the given expression, it ensures that exponentiation is handled before multiplication and that both are executed before addition or subtraction, preventing ambiguity in evaluation.

Polynomial Evaluation

Polynomial evaluation involves calculating the value of a polynomial at a specific point by systematically substituting the value and carrying out the arithmetic operations as dictated by the structure of the polynomial. This allows one to understand the behavior of polynomial functions at different values of the variable.

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