Precal Fall Final

Front

What is the degree of the polynomial function P(x)=3x^4-7x^2-2x^7-x+4?

Back

The degree of the polynomial function is 7.

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches positive or negative infinity.

Front

If f(x) = 9-3x and g(x) = 5x-7, what is f(x) + g(x)?

Back

f(x) + g(x) = 2x + 2.

Front

Find f(x)·g(x) for f(x)=4x+1 and g(x)=4x-3.

Back

f(x)·g(x) = 16x^2 - 8x - 3.

Front

Write the polynomial function of least degree with the given zeros: -1, 0, -2.

Back

The polynomial function is x^3 + 3x^2 + 2x.

Front

What is the leading coefficient of the polynomial P(x)=3x^4-7x^2-2x^7-x+4?

Back

The leading coefficient is -2.

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form P(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0, where a_n, a_{n-1}, ..., a_0 are constants and n is a non-negative integer.

Front

What is the difference between a polynomial and a rational function?

Back

A polynomial function is a function that consists of terms with non-negative integer exponents, while a rational function is a ratio of two polynomial functions.

Front

How do you find the zeros of a polynomial function?

Back

To find the zeros of a polynomial function, set the function equal to zero and solve for x.

Front

What is the significance of the degree of a polynomial?

Back

The degree of a polynomial indicates the highest power of the variable and determines the polynomial's end behavior and the maximum number of roots.