Evaluating Binomials and Polynomials

This video tutorial explains how to evaluate polynomials using function notation. It covers evaluating polynomials for specific values, such as P(4) and P(-3), and extends to evaluating polynomials with variable expressions. The tutorial provides step-by-step instructions, emphasizing the importance of order of operations and the use of parentheses when dealing with negative numbers and exponents.

What is the purpose of function notation in evaluating polynomials?

• To simplify the polynomial

• To make the polynomial look more complex

• To evaluate polynomials for specific values

• To change the polynomial's degree

In function notation, what does p(x) represent?

• The integral of the polynomial

• The derivative of the polynomial

• The polynomial itself

• The inverse of the polynomial

When evaluating p(4), what is the first step?

• Add 4 to all terms

• Divide all terms by 4

• Replace x with 4 in the polynomial

• Multiply all coefficients by 4

What is the result of evaluating p(4) for the polynomial 3x^3 - 2x - 9?

• 64

• 175

• 81

• 192

What is the value of 4 cubed?

• 64

• 16

• 32

• 8

When evaluating p(-3), what is the first step?

• Divide all terms by -3

• Replace x with -3 in the polynomial

• Add -3 to all terms

• Multiply all coefficients by -3

What is the result of evaluating p(-3) for the polynomial 3x^3 - 2x - 9?

• -81

• -84

• -27

• -9

What is the value of (-3) cubed?

• -9

• 9

• 27

• -27

What is the purpose of evaluating polynomials for specific values?

• To simplify the polynomial

• To calculate the polynomial's value at a given point

• To determine the polynomial's degree

• To find the polynomial's roots

What does f(3c - 4) mean in function notation?

• Multiply all coefficients by 3c - 4

• Add 3c - 4 to all terms

• Replace x with 3c - 4 in the polynomial

• Divide all terms by 3c - 4