Hon Alg 2: Ch.4 Review

Front

Find the 2nd term in the expansion of (2b + 1)^3

Back

12b^2

Front

How many real zeros does the function f(x) = ax^3 + bx^2 + cx + d have?

Back

The number of real zeros can be determined using the discriminant and the behavior of the function. In this case, the function has 3 real zeros.

Front

What is the proper way to write the polynomial 2x^3 - x^2 - 25x - 12?

Back

The proper way to write the polynomial is 2x^3 - x^2 - 25x - 12.

Front

Which function has ↑ & ↑ end behavior?

Back

The function f(x) = x^4 + 3x^3 - 4x + 1 has ↑ & ↑ end behavior.

Front

Expand (b - 2)^3

Back

b^3 - 6b^2 + 12b - 8

Front

What is the Binomial Theorem?

Back

The Binomial Theorem states that (a + b)^n = Σ (n choose k) * a^(n-k) * b^k for k = 0 to n.

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What does it mean for a function to have a local maximum?

Back

A function has a local maximum at a point if the function value at that point is greater than the function values at nearby points.