https://file.aiquickdraw.com/mathbot/file/1726652457065j2wjhv1h.jpg

It seems like the extracted text wasn't perfectly accurate. However, from visual inspection, the given equation is:

\[
f(x) = x^2 + 5x - 14
\]

Now, let's find the zeros of this quadratic function by solving for \(x\) using the quadratic formula:

\[
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
\]

where \(a = 1\), \(b = 5\), and \(c = -14\). I'll compute this next.The zeros of the polynomial \( f(x) = x^2 + 5x - 14 \) are:

\[
x_1 = 2 \quad \text{and} \quad x_2 = -7
\]

These are the values of \(x\) where the function \(f(x)\) equals zero.

Do you have any questions or need more details?

Here are five related questions to deepen your understanding:
1. How can you factor a quadratic equation like \(x^2 + 5x - 14 = 0\)?
2. What is the significance of the discriminant in the quadratic formula?
3. How does completing the square work for this equation?
4. What are the real-world applications of finding the zeros of a polynomial?
5. Can this equation be solved graphically, and how would the graph look?

**Tip:** The discriminant \(b^2 - 4ac\) helps you quickly determine the nature of the roots (real, imaginary, or repeated).

Find the zeros of the polynomial f(x) = x^2 + 5x - 14

This page explains how to find the zeros of the quadratic equation f(x) = x^2 + 5x - 14. It includes key algebraic concepts, the quadratic formula, and discriminant calculations, suitable 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