step 1 Thought process and how to factor x squared plus 20x plus 91 is that we're looking for two numbe

Factor. x 2+20 x+91

Name: Problem 26, Chapter 6: Elementary Algebra
Uploaded: 2022-01-30T02:39:36-08:00
Duration: 1 min 11 s
Channel: Gregory Higby
Description: Factor. x 2+20 x+91

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Key Concepts

Polynomial Factoring

Polynomial factoring is the process of rewriting a polynomial as a product of simpler polynomials. This technique is essential in algebra for simplifying expressions and solving equations, as it reveals the building blocks of the polynomial and helps in identifying its roots or zeros.

Quadratic Polynomials

A quadratic polynomial is a second-degree polynomial typically expressed in the form ax² + bx + c, where a, b, and c are constants and a is non-zero. Factoring quadratics is an important method in algebra to solve quadratic equations, as it allows the equation to be broken down into simpler linear factors.

Sum and Product Method

The sum and product method is a technique used to factor quadratic polynomials. It involves finding two numbers that multiply to give the constant term (c) and add to give the coefficient of the linear term (b). This method is particularly useful when the quadratic factors neatly into a product of two binomials with integer coefficients.

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