step 1 27. We're starting with 9 plus 4x squared plus 12x. So I want to rearrange these a little bit, s

Question

Factor. $$ 9+4 x^{2}+12 x $$

Name: Problem 27, Chapter 6: Elementary and Intermediate Algebra
Uploaded: 2020-04-16T02:31:30-08:00
Duration: 1 min 13 s
Channel: Sherrie Fenner
Description: Factor. 9+4 x^2+12 x

   Factor.
$$
9+4 x^{2}+12 x
$$

Elementary and Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 6, Problem 27

Instant Answer

Solved by Expert Sherrie Fenner

04/16/2020

Step 1

So, we rewrite the expression as $4x^{2} + 12x + 9$. Show more…

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Factor. $$ 9+4 x^{2}+12 x $$

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Key Concepts

Quadratic Expressions

Quadratic expressions are polynomial expressions of degree two and have the form ax² + bx + c. They are fundamental in algebra because they can be analyzed and solved using a variety of techniques such as factoring, completing the square, or using the quadratic formula. Understanding the structure of quadratic expressions is crucial for solving equations and modeling parabolic behaviors in different contexts.

Perfect Square Trinomials

A perfect square trinomial is a special type of quadratic expression that can be written as the square of a binomial. This occurs when the first and last terms are perfect squares and the middle term is twice the product of the square roots of these terms. Recognizing a perfect square trinomial simplifies the process of factoring, as it allows one to immediately express the quadratic as the square of a simpler expression.

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