ALGEBRA II Mid-Term (Review/Flashcard/Exam)

Front

What is the standard form of a complex number?

Back

The standard form of a complex number is expressed as a + bi, where a is the real part and b is the imaginary part.

Front

How do you multiply two complex numbers?

Back

To multiply two complex numbers, use the distributive property (FOIL method) and combine like terms, remembering that i^2 = -1.

Front

What is the polynomial function used to model the number of lawsuits filed by the EEOC?

Back

The polynomial function is S(t) = 0.0133t^4 - 0.420t^3 + 2.86t^2 + 3.3t + 353.

Front

How do you evaluate a polynomial function at a specific value?

Back

To evaluate a polynomial function at a specific value, substitute the value into the function and simplify.

Front

What does it mean to factor a polynomial completely?

Back

Factoring a polynomial completely means expressing it as a product of its irreducible factors.

Front

What is the vertex of a quadratic function in standard form?

Back

The vertex of a quadratic function f(x) = ax^2 + bx + c can be found using the formula (-b/(2a), f(-b/(2a))).

Front

What is the axis of symmetry for a quadratic function?

Back

The axis of symmetry for a quadratic function f(x) = ax^2 + bx + c is the vertical line x = -b/(2a).

Front

What is the process for graphing a quadratic function?

Back

To graph a quadratic function, find the vertex, axis of symmetry, x-intercepts, and y-intercept, then plot these points and draw the parabola.

Front

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

Back

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

Front

What is the difference between a polynomial and a monomial?

Back

A polynomial is a sum of multiple terms (monomials), while a monomial is a single term.