step 1 According to the question we have to find out the principle of zero's product, we have given equ

Solve. x^2+2 x-35=0

Name: Problem 18, Chapter 5: Intermediate Algebra : Concepts and Applications
Uploaded: 2020-07-18T11:41:35-08:00
Duration: 1 min 28 s
Channel: Ankit Gupta
Description: Solve. x^2+2 x-35=0

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Key Concepts

Factoring

Factoring is a process in algebra where an expression is rewritten as a product of simpler expressions. For quadratic equations, if the expression can be factored into two binomials, it simplifies the process of finding solutions. Factoring is an efficient method when the quadratic has factorable coefficients.

Zero Product Property

The zero product property states that if the product of two expressions is zero, then at least one of the expressions must be zero. This is a key concept in solving factored quadratic equations because it allows one to set each factor equal to zero to find the solution set.

Quadratic Equation

A quadratic equation is a polynomial equation of degree two, generally expressed in the form ax² + bx + c = 0, where a, b, and c are constants and a is not zero. This fundamental concept in algebra is critical because it leads to various methods for finding the roots or solutions, which correspond to the points where a parabola intersects the x-axis.

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