Evaluating functions with a monomial

The video tutorial explains how to evaluate a polynomial function P(x) = 4x^2 - 3 for a variable expression, specifically a squared (a^2). The instructor guides through substituting a^2 for x in the function, resulting in the expression 4a^4 - 3. The process involves understanding the power of a power rule and simplifying the expression. The tutorial concludes with the final evaluated expression.

What is the polynomial function P(x) given in the video?

• P(x) = 3x^2 + 4

• P(x) = 3x^2 - 4

• P(x) = 4x^2 - 3

• P(x) = 4x^2 + 3

When evaluating P for a squared variable, what should replace x in the function?

• a

• x^2

• a^2

• 2a

What is the expression obtained after substituting a^2 into the function P?

• 4a^3 - 3

• 4a^4 - 3

• 4a^5 - 3

• 4a^2 - 3

What mathematical operation is used when raising a power to another power?

• Division

• Multiplication

• Subtraction

• Addition

What is the final simplified form of P(a^2)?

• 4a^3 - 3

• 4a^2 - 3

• 4a^4 - 3

• 4a^5 - 3