https://file.aiquickdraw.com/mathbot/file/1725444221777fl5ovkpn.jpg

I see that you've uploaded an image showing a worksheet on factoring trinomials. The expression to be factored is:

\[
x^2 - 5x - 24
\]

Let's solve this by factoring the quadratic trinomial.

We need to find two numbers that multiply to give \(-24\) (the constant term) and add up to \(-5\) (the coefficient of \(x\)).

The numbers that satisfy this condition are \(-8\) and \(3\), since:
- \(-8 \times 3 = -24\)
- \(-8 + 3 = -5\)

Thus, we can factor the trinomial as:
\[
(x - 8)(x + 3)
\]

So, the factored form of \(x^2 - 5x - 24\) is:
\[
(x - 8)(x + 3)
\]

Would you like further clarification or details on this? Here are some related questions for deeper understanding:

1. How do you verify the factored form by expanding it back into the original expression?
2. What if the constant term were positive, how would the factoring change?
3. Could you use a different method, like completing the square, to factor this trinomial?
4. How do you find the roots of the equation \(x^2 - 5x - 24 = 0\)?
5. Can you factor trinomials with a leading coefficient other than 1?

**Tip:** When factoring trinomials, always check the signs of the constant and middle terms carefully.

Factor the trinomial x^2 - 5x - 24 completely.

Learn how to factor the quadratic trinomial x^2 - 5x - 24 by finding two numbers that multiply to -24 and add to -5. Follow this step-by-step guide to mastering factoring trinomials, suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation