https://file.aiquickdraw.com/mathbot/file/1727812124506dfp8i95v.jpg

The equation in the image is a quadratic expression, and we are tasked with factoring it.

We start with:
\[
x^2 + 7x - 8
\]

We need to factor it into two binomials:
\[
(x - \_)(x + \_)
\]

### Step 1: Find factors of the constant term (-8)
We are looking for two numbers that multiply to give \(-8\) (the constant term) and add to give \(7\) (the coefficient of \(x\)).

The two numbers that satisfy these conditions are \(8\) and \(-1\), because:
- \(8 \times -1 = -8\)
- \(8 + (-1) = 7\)

### Step 2: Write the factored form
Thus, the factored form of the quadratic equation is:
\[
x^2 + 7x - 8 = (x - 1)(x + 8)
\]

Would you like further details or have any questions?

Here are some related questions you might consider:
1. How do we factor quadratics when the leading coefficient isn't 1?
2. Can all quadratic expressions be factored?
3. How can we verify if a factorization is correct?
4. What are the steps to solve a quadratic equation after factoring?
5. What is the quadratic formula and how does it compare to factoring?

**Tip:** Always check your factorization by expanding the factors back to the original expression to ensure accuracy.

Factor the quadratic equation x^2 + 7x - 8.

Learn how to factor the quadratic equation x^2 + 7x - 8 with step-by-step guidance. This problem demonstrates factoring techniques for solving quadratic equations, important for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation