Solving Equations by Factoring and Square Root Method

Front

What is the process of solving equations by factoring?

Back

Factoring involves rewriting an equation as a product of its factors, allowing us to find the values of the variable that make the equation true.

Front

What is the square root method in solving equations?

Back

The square root method involves isolating the variable on one side of the equation and then taking the square root of both sides to solve for the variable.

Front

Solve for x: x² - 16 = 0

Back

x = -4, 4

Front

What are the roots of the equation x² - 25 = 0?

Back

x = -5, 5

Front

Factor the expression: x² - 9

Back

(x - 3)(x + 3)

Front

What is the first step in factoring a quadratic equation?

Back

Identify the coefficients of the quadratic equation in the form ax² + bx + c.

Front

Solve for n: n² - 4n + 4 = 0

Back

n = 2 (double root)

Front

What does it mean to factor completely?

Back

To factor completely means to break down an expression into its simplest factors that cannot be factored further.

Front

Factor the expression: 3x² + 12x

Back

3x(x + 4)

Front

What is the zero product property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.