For the following exercises, solve the quadratic equation by factoring. x^2-11 x=0

Name: Problem 86, Chapter 4: Intermediate Algebra
Uploaded: 2020-04-06T14:23:51-08:00
Duration: 2 min 32 s
Channel: Ankit Gupta
Description: For the following exercises, solve the quadratic equation by factoring. x^2-11 x=0

step 1 Given equation is x squared minus 11 x equal to 0 now we can take the x common and we can write

For the following exercises, solve the quadratic equation by...

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Key Concepts

Quadratic Equation

A quadratic equation is a second-degree polynomial equation typically in the form ax² + bx + c = 0, where a, b, and c are constants and a is not zero. Understanding quadratic equations is fundamental in algebra as they appear in various problem-solving scenarios, and various methods, including factoring, completing the square, and the quadratic formula, can be used to solve them.

Factoring

Factoring is the process of rewriting an algebraic expression as a product of simpler factors. In the context of quadratic equations, factoring involves finding two binomials whose product gives the original quadratic expression, which helps simplify the solving process by breaking the equation into more manageable parts.

Zero Product Property

The Zero Product Property states that if the product of two factors is zero, then at least one of the factors must be zero. This property is crucial when solving factored equations, as it allows us to set each factor equal to zero and solve for the variable, leading directly to the solution of the equation.

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