neallen96
Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Ask your questions and receive precise answers from experienced professionals across different disciplines. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Factor the expression. If the expression cannot be factored, say so.

Factor The Expression If The Expression Cannot Be Factored Say So class=

Sagot :

crisforp
Delta = 25 - 16 = 9 => [tex] \sqrt{Delta} = 3;[/tex]
[tex] x_{1} = (-5 + 3)/4 = -1/2 and x_{2} = (-5 -3)/4 = -2;[/tex];
=> 2[tex] x^{2} + 5x + 2 = 2(x+1/2)(x+2).[/tex] = (2x+1)(x+2).

chetankachana

Answer:

(x + 2)(2x + 1)

Step-by-step explanation:

Hello!

We can factor this expression using the grouping method.

What is the Grouping Method?

The grouping method is a way to factor quadratic expressions and is mostly likely used when given an even number of terms. I will show you how to factor by grouping shortly.

Step 1: AC and B

This equation is written in the standard form of a quadratic : ax² + bx + c

The rule of grouping is that we need to find two factors, so that when the terms ax² and c are multipliedd together, the two factors would add to bx.

Using the given problem:

  • ax² is 2x²
  • bx is 5x
  • c is 2

Multiply:

  • 2(2x²)
  • 4x²

That means that the two factors that multiply to 4x² should add to 5x. The terms that work is x and 4x.

Step 2: Expand and factor

Now we simply replace 4x and x for 5x.

  • 2x² + x + 4x + 2

Now think of these one expressions as two seperate ones.

  • (2x² + x) + (4x + 2)

Find the GCF in both parenthesis

  • x(2x + 1) + 2(2x + 1)

Simplify

  • (x + 2)(2x + 1)

Your factored equation is (x + 2)(2x + 1)

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.