Unit 8 CP 2025

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers without leaving a remainder.

Front

How do you factor an expression using GCF?

Back

To factor using GCF, identify the largest factor common to all terms in the expression and factor it out.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, given by b² - 4ac, which determines the nature of the roots.

Front

What does a discriminant of 4 indicate about the roots of a quadratic equation?

Back

A discriminant of 4 indicates that the quadratic equation has 2 distinct real roots.

Front

How do you expand the expression (x + 5)²?

Back

To expand (x + 5)², use the formula (a + b)² = a² + 2ab + b², resulting in x² + 10x + 25.

Front

What does it mean for a parabola to open up or down?

Back

A parabola opens up if the coefficient of x² is positive and down if it is negative.

Front

What is the vertex form of a quadratic equation?

Back

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

Front

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

Back

To find the x-intercepts, set y = 0 and solve the equation for x.

Front

What is the standard form of a quadratic equation?

Back

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

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by x = -b/(2a).