Evaluating Expressions and Operations

The video tutorial explains how to evaluate polynomials by substituting x with -3. It covers multiple examples, demonstrating the process of substitution and the application of the order of operations. Each example is broken down step-by-step, highlighting the importance of correctly handling exponents and arithmetic operations to arrive at the correct result.

What is the first step in evaluating a polynomial when given a specific value for x?

• Multiply all terms by 2

• Divide by the highest degree term

• Add the coefficients

• Substitute the value into the polynomial

In the first example, what is the result of substituting x with -3 in the expression -4x?

• -12

• 12

• 7

• -7

What is the final result of the first example after evaluating the expression?

• 3

• 7

• 5

• 0

In the second example, what is the value of (-3)^2?

• 9

• 0

• -9

• 6

What is the result of multiplying -5 by 9 in the second example?

• -9

• 9

• -45

• 45

What is the final result of the second example after all operations?

• -66

• 20

• -46

• -21

In the third example, what is the result of -3 squared?

• 0

• -9

• 9

• 3

What is the sum of 9 and 3 in the third example?

• 12

• 13

• 11

• 10

What is the final result of the third example?

• 14

• 15

• 13

• 12

In the final example, what is the value of (-3)^2?

• 0

• -9

• 6

• 9