Precalc Test 4.1-4.4

Front

What is the degree of a polynomial function?

Back

Front

What does Descartes' Rule of Signs help determine?

Back

Descartes' Rule of Signs helps determine the number of positive and negative real roots of a polynomial function based on the number of sign changes in the function's coefficients.

Front

How do you find the horizontal asymptote of a rational function?

Back

Front

What is the vertical asymptote of a rational function?

Back

The vertical asymptote of a rational function occurs at the values of x that make the denominator equal to zero, provided that these values do not also make the numerator zero.

Front

How do you perform polynomial long division?

Back

To perform polynomial long division, divide the leading term of the dividend by the leading term of the divisor, multiply the entire divisor by this result, subtract from the dividend, and repeat with the new polynomial until the degree of the remainder is less than the degree of the divisor.

Front

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

Back

The leading coefficient of a polynomial determines the end behavior of the graph. If it is positive, the graph rises to the right; if negative, it falls to the right.

Front

What is a polynomial function?

Back

Front

What is the remainder theorem?

Back

Front

What is the factor theorem?

Back

Front

How do you determine the number of possible positive real solutions of a polynomial?

Back

To determine the number of possible positive real solutions of a polynomial, apply Descartes' Rule of Signs to the polynomial's function, counting the number of sign changes in the coefficients.