CHS EOC Review: Quadratics

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to whole number powers and coefficients. For example, 3x² - 2x + 5 is a polynomial.

Front

How do you subtract polynomials?

Back

To subtract polynomials, you subtract the coefficients of like terms. For example, (3x² - 3x + 2) - (x² - 2x + 1) results in 2x² - x + 1.

Front

What is the area of a rectangle with length (3x - 1) and width (2x + 5)?

Back

The area is found by multiplying length and width: Area = (3x - 1)(2x + 5) = 6x² + 13x - 5.

Front

What is the vertex form of a quadratic equation?

Back

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

Front

What does it mean for a parabola to open downward?

Back

A parabola opens downward if the coefficient of the x² term (a) in the quadratic equation y = ax² + bx + c is negative.

Front

What is the maximum point of a parabola?

Back

The maximum point of a parabola is the highest point on the graph, occurring at the vertex when the parabola opens downward.

Front

What is the factored form of the quadratic equation x² - 4x + 4?

Back

The factored form is (x - 2)².

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c, where a, b, and c are constants.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is given by b² - 4ac and determines the nature of the roots of the quadratic equation.

Front

What are the roots of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero, found using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).