Evaluating Polynomial Functions through Direct Substitution

This video tutorial explains how to evaluate polynomial functions using direct substitution. It begins with an introduction to the concept and then provides three examples, each demonstrating the evaluation of a polynomial function at different values of X: 3, -1, and -2. The video emphasizes the use of function notation and the importance of following the order of operations to find the correct value of the function.

What is the process called when you find the value of a polynomial function by substituting a specific value for x?

• Polynomial simplification

• Direct substitution

• Direct evaluation

• Function notation

In the first example, what is the value of the polynomial function when x = 3?

• 21

• 18

• 15

• 12

What is the first step in evaluating a polynomial function using direct substitution?

• Use a graphing calculator

• Convert to standard form

• Simplify the polynomial

• Rewrite the equation without variables and use parentheses

When evaluating the polynomial function 2x^3 - x^4 + 3x^2 at x = 3, what is the value of 3^4?

• 54

• 9

• 81

• 27

In the second example, what is the value of the polynomial function when x = -1?

• 2

• 0

• 1

• 3

What is the result of (-1)^2?

• -1

• 0

• 1

• 2

In the third example, what is the value of the polynomial function when x = -2?

• 64

• 96

• 72

• 88

What is the value of (-2)^3?

• -8

• 6

• 8

• -6

What is the value of (-2)^2?

• 2

• 4

• -4

• -2

What is the main concept discussed in the video?

• Solving polynomial equations

• Simplifying polynomial functions

• Evaluating polynomial functions using direct substitution

• Graphing polynomial functions