Math Problem Statement
x^2+9x+20 factorize
Solution
To factorize the quadratic expression , we will find two numbers that multiply to 20 (the constant term) and add to 9 (the coefficient of the linear term).
Steps:
- The quadratic expression is .
- We need to find two numbers that multiply to 20 and add up to 9.
- The numbers are 4 and 5 because and .
- We can now write the factorized form as:
So, the factorized form of is .
Would you like more details or have any questions?
Here are 5 related questions for practice:
- Factorize .
- What is the factorized form of ?
- Factorize .
- Find the factors of .
- What are the factors of ?
Tip: Always check the product of the factors to verify your result!
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Math Problem Analysis
Mathematical Concepts
Algebra
Factorization
Quadratic Expressions
Formulas
Factorization of quadratic expressions: (x + p)(x + q) where p * q = constant term and p + q = coefficient of x
Theorems
Zero Product Property
Factor Theorem
Suitable Grade Level
Grades 8-10