F15 Nov19th 2A

Front

What is the factored form of the expression 16 - x²?

Back

(4 - x)(4 + x)

Front

What is the end behavior of the function f(x) = 3x⁴ + 2x - 5 as x approaches infinity?

Back

As x → ∞, f(x) → ∞.

Front

What is the leading coefficient and degree of the polynomial f(x) = 3x⁴ + 2x - 5?

Back

The leading coefficient is 3, and the degree is 4.

Front

What is the conjugate of the complex number -2i + 7?

Back

7 + 2i

Front

What does it mean for a zero to have multiplicity 1?

Back

It means that the zero occurs once in the polynomial's factorization.

Front

How do you determine the end behavior of a polynomial function?

Back

Analyze the leading term of the polynomial; it dictates the behavior as x approaches ±∞.

Front

What is the significance of the leading coefficient in a polynomial function?

Back

It affects the direction of the graph as x approaches ±∞.

Front

What is the definition of a zero of a polynomial?

Back

A zero of a polynomial is a value of x that makes the polynomial equal to zero.

Front

How do you find the zeros of a polynomial function?

Back

Set the polynomial equal to zero and solve for x.

Front

What is the relationship between the degree of a polynomial and the number of zeros it can have?

Back

A polynomial of degree n can have up to n zeros.