REVIEW M3 Final Computer version

Front

What is the Least Common Denominator (LCD)?

Back

The Least Common Denominator (LCD) is the smallest multiple that is common to the denominators of two or more fractions. It is used to simplify the process of adding, subtracting, or comparing fractions.

Front

How do you multiply polynomials?

Back

To multiply polynomials, use the distributive property (also known as the FOIL method for binomials) to multiply each term in the first polynomial by each term in the second polynomial, then combine like terms.

Front

What is the product of (3x + 2)(2x + 4)?

Back

The product is 6x^2 + 16x + 8.

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is given by f(x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Front

What does the discriminant of a quadratic equation indicate?

Back

The discriminant, given by b^2 - 4ac, indicates the nature of the roots of the quadratic equation ax^2 + bx + c = 0. If it is positive, there are two distinct real roots; if zero, there is one real root; if negative, there are two complex roots.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

How do you find the roots of a quadratic equation?

Back

To find the roots of a quadratic equation, you can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a).

Front

What is the difference between a polynomial and a monomial?

Back

A polynomial is an expression that consists of multiple terms (e.g., 2x^2 + 3x + 1), while a monomial is a single term (e.g., 4x^3).

Front

What is the process of factoring a quadratic expression?

Back

Factoring a quadratic expression involves rewriting it as a product of two binomials. This can be done by finding two numbers that multiply to ac (the product of a and c) and add to b.

Front

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

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial. It determines the end behavior of the polynomial's graph.