Math Problem Statement

Factorize or analyze the quadratic expression x^2 - 9x + 18.

Solution

The image shows the quadratic expression:

x29x+18x^2 - 9x + 18

Would you like to:

  1. Factorize the quadratic expression?
  2. Solve for the roots of the equation x29x+18=0x^2 - 9x + 18 = 0?
  3. Analyze it further, such as finding the vertex or graphing it?

Let me know your preference!


Additional Relative Questions:

  1. What is the process to factorize any quadratic equation?
  2. How can the discriminant help in analyzing quadratic equations?
  3. What are the vertex and axis of symmetry for x29x+18x^2 - 9x + 18?
  4. How can you verify the roots of a quadratic equation?
  5. How do you graph a quadratic equation like this one?

Tip: Remember that for simple quadratic expressions, factoring is usually quicker if it’s factorable. Otherwise, use the quadratic formula!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Quadratic Equations
Factoring
Roots of Quadratic Equations

Formulas

Factoring method: Find two numbers that multiply to c and add to b.
Quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a

Theorems

Zero Product Property

Suitable Grade Level

Grades 7-9