Math Problem Statement

Find factor

Find the factors of the quadratic expression x^2 - 5x - 6.

Solution

The factored form of the expression x25x6x^2 - 5x - 6 is (x6)(x+1)(x - 6)(x + 1).

Would you like more details or have any questions about this?

Here are five related questions you might find interesting:

  1. How can you determine the roots of the quadratic equation x25x6=0x^2 - 5x - 6 = 0?
  2. What are the techniques to factor more complex quadratic expressions?
  3. How can you check if the factorization of a quadratic expression is correct?
  4. What is the importance of factoring in solving quadratic equations?
  5. How do you factor quadratic expressions when the leading coefficient is not 1?

Tip: Always double-check your factorization by expanding the factors to ensure they match the original expression.

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations
Factoring

Formulas

Factoring quadratics: ax^2 + bx + c = (px + q)(rx + s)
Quadratic equation formula: x = (-b ± √(b² - 4ac)) / 2a

Theorems

Zero Product Property

Suitable Grade Level

Grades 7-9