Algebra 2 Semester 1 Review

Front

What is the discriminant of a quadratic equation and what does it indicate about the roots?

Back

The discriminant is the part of the quadratic formula under the square root (b² - 4ac). It indicates the nature of the roots: if it's positive, there are two real roots; if it's zero, there is one real root; if it's negative, the roots are imaginary.

Tags

CCSS.HSA-REI.B.4B

Front

Factor the quadratic expression: x² + 12x + 20.

Back

(x + 10)(x + 2)

Front

Perform polynomial long division: 2x³ - 5x² + 3x + 7 ÷ (x - 2).

Back

2x² - x + 1 + 9/(x - 2)

Tags

CCSS.HSA.APR.D.6

Front

What is a line of best fit and how is it calculated?

Back

A line of best fit is a straight line that best represents the data on a scatter plot. It is calculated using methods like least squares to minimize the distance between the line and the data points.

Tags

CCSS.8.EE.B.5

Front

Identify the linear terms in the polynomial function: (x-2)(x-1)(x+1)(x+2).

Back

The linear terms are the factors that are linear, which are (x-2), (x-1), (x+1), and (x+2).

Front

What is the vertex form of a quadratic function?

Back

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

Front

What does it mean for a function to be quadratic?

Back

A function is quadratic if it can be expressed in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

How do you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts, set the quadratic function equal to zero and solve for x using factoring, completing the square, or the quadratic formula.

Tags

CCSS.HSF-IF.C.7A

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Tags

CCSS.HSA-REI.B.4B

Front

Explain the concept of polynomial degree.

Back

The degree of a polynomial is the highest power of the variable in the polynomial. It determines the polynomial's behavior and the number of roots.