Solve or Simplify

Front

What is a parabola?

Back

A parabola is a symmetrical, curved shape that represents the graph of a quadratic function. It can open upwards or downwards.

Front

How do you determine the number of zeros of a parabola?

Back

The number of zeros (or roots) of a parabola can be determined by finding the solutions to the quadratic equation. This can be done using the quadratic formula, factoring, or completing the square.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of the quadratic equation ax² + bx + c = 0.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form without changing its value.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

How do you combine like terms in a polynomial?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable and exponent.

Front

What is a root of an equation?

Back

A root of an equation is a value of the variable that makes the equation true, often where the graph intersects the x-axis.

Front

What is the process to find the roots of a quadratic equation?

Back

To find the roots of a quadratic equation, you can factor the equation, use the quadratic formula, or complete the square.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which can be simpler polynomials.