F15 Nov18th 3B

Front

What is the leading coefficient of the polynomial f(x) = 2x^4 + 3x^2 - 5?

Back

The leading coefficient is 2.

Front

What is the degree of the polynomial f(x) = 2x^4 + 3x^2 - 5?

Back

The degree is 4.

Front

Determine the end behavior of the polynomial f(x) = 3x^4 + 2x - 5 as x approaches positive infinity.

Back

As x → ∞, f(x) → ∞.

Front

Determine the end behavior of the polynomial f(x) = 3x^4 + 2x - 5 as x approaches negative infinity.

Back

As x → -∞, f(x) → ∞.

Front

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

Back

The conjugate is 7 + 2i.

Front

How do you factor the expression 16 - x^2?

Back

The factored form is (4 - x)(4 + x).

Front

What is a zero of a polynomial?

Back

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

Front

What does it mean for a zero to have multiplicity?

Back

Multiplicity refers to the number of times a particular zero is repeated in a polynomial.

Front

If -5 is a zero of a polynomial with multiplicity 1, what does this imply about the graph of the polynomial at x = -5?

Back

The graph will cross the x-axis at x = -5.

Front

What is the significance of the leading coefficient in determining the end behavior of a polynomial?

Back

The leading coefficient determines the direction of the graph as x approaches positive or negative infinity.