Evaluating Polynomials Using Substitution

This video tutorial teaches how to evaluate polynomials using substitution. It begins with an introduction to the concept and a review of the order of operations. The tutorial addresses common misunderstandings, such as incorrect substitution without multiplication. It provides step-by-step examples of evaluating polynomials for specific values of X, including X=3 and X=-3. The video also covers function notation and concludes with a summary of the key points learned.

What is the first step in simplifying an expression according to the order of operations?

• Simplify exponents

• Multiply or divide

• Add or subtract

• Simplify parentheses

When substituting a value for X in a polynomial, what is crucial to ensure correct evaluation?

• Changing the polynomial structure

• Substituting without parentheses

• Using parentheses around the substituted value

• Ignoring the order of operations

What is the result of evaluating the polynomial 4X^3 - 6X^2 + 2X - 5 for X = 3?

• 75

• 65

• 55

• 45

How do you find F(4) for the function F(X) = 3X^2 - 2?

• Replace X with 1 and simplify

• Replace X with 3 and simplify

• Replace X with 2 and simplify

• Replace X with 4 and simplify

What is the final result of evaluating X^2 + 2X - 7 when X = 3?

• 6

• 7

• 8

• 9