Factor. x^2+3 x+(9)/(4)

Name: Problem 125, Chapter 0: Algebra and Trigonometry
Uploaded: 2020-07-04T01:20:53-08:00
Duration: 1 min 4 s
Channel: Ankit Gupta
Description: Factor. x^2+3 x+(9)/(4)

step 1 We have to factorize the expression given by x squared plus 3x plus of 9 by 4. Now we are breaki

Question

Factor. $x^{2}+3 x+\frac{9}{4}$

   Factor.
$x^{2}+3 x+\frac{9}{4}$

Algebra and Trigonometry

Judith A. Beecher,… 4th Edition

Chapter 0, Problem 125

Instant Answer

Solved by Expert Ankit Gupta

07/04/2020

Step 1

The expression $x^{2}+3 x+\frac{9}{4}$ is in the form of a quadratic equation $ax^{2}+bx+c$. Show more…

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Factor. $x^{2}+3 x+\frac{9}{4}$

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Key Concepts

Perfect Square Trinomials

A perfect square trinomial is a special form of a quadratic expression that can be written as the square of a binomial. This pattern emerges when the quadratic term is the square of a term, the constant is the square of another term, and the linear coefficient is twice the product of these two terms, allowing the trinomial to be factored as (a + b)² or (a - b)².

Factoring Quadratic Expressions

This concept involves rewriting a quadratic polynomial as a product of two binomials. It is a fundamental algebraic technique used to simplify expressions and solve quadratic equations, relying on finding two numbers that multiply to the constant term and add to the coefficient of the linear term.

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