Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
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).
[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).
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)
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.