Factor the trinomial \( 2x^2 + 11x + 5 \).
We can factor this trinomial by finding two numbers that multiply to \( 2 \times 5 = 10 \) and add to 11. These numbers are 10 and 1.
So the factored form is \( (2x+1)(x+5) \).
```- **Problem 2:** Solve the equation \( x^2 - 4x - 5 = 0 \) by factoring. ```htmlSolve the equation \( x^2 - 4x - 5 = 0 \) by factoring.
We first factor the trinomial to \( (x-5)(x+1) \).
Setting each factor equal to zero gives us the solutions \( x = 5 \) and \( x = -1 \).
[Trinomials] Related Worksheets and Study Guides:
.◂Math Worksheets and Study Guides Eighth Grade. Theoretical probability and counting
Study Guide
Theoretical probability and counting 
Worksheet/Answer key
Theoretical probability and counting Worksheet/Answer key
Theoretical probability and counting Worksheet/Answer key
Theoretical probability and counting
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
DATA ANALYSIS, STATISTICS, AND PROBABILITY
Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. Understand and use appropriate terminology to describe independent, dependent, complementary, and mutually exclusive events.
For events with a large number of outcomes, understand the use of the multiplication counting principle. Develop the multiplication counting principle and apply it to situations with a large number of outcomes.