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 \( x = -1 \).
.◂Math Worksheets and Study Guides Eighth Grade. Polynomials and Exponents
Study Guide
Polynomials and Exponents 
Worksheet/Answer key
Polynomials and Exponents Worksheet/Answer key
Polynomials and Exponents Worksheet/Answer key
Polynomials and Exponents Worksheet/Answer key
Polynomials and Exponents Worksheet/Answer key
Polynomials and Monomials Worksheet/Answer key
Polynomials and Monomials
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
Number and Operations (NCTM)
Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
Develop an understanding of large numbers and recognize and appropriately use exponential, scientific, and calculator notation.
Connections to the Grade 8 Focal Points (NCTM)
Number and Operations: Students use exponents and scientific notation to describe very large and very small numbers. They use square roots when they apply the Pythagorean Theorem.