**In the game of hoops, you’ve got a crucial play: the equation p2-25p=0. Which of the following players (solutions) is ready to step up and sink the winning shot?**

**In the game of hoops, you’ve got a crucial play: the equation p2-25p=0. Which of the following players (solutions) is ready to step up and sink the winning shot?**

-25

-5

10

25

5

To solve the equation \( p^2 - 25p = 0 \), we first factor it.

1. Factor out \( p \):
\[
p(p - 25) = 0
\]

2. Set each factor equal to zero:
\[
p = 0 \quad \text{or} \quad p - 25 = 0
\]

This gives two possible solutions:
\[
p = 0 \quad \text{or} \quad p = 25
\]

So, the player ready to sink the winning shot is **25**.

Would you like more details on factoring or solving quadratic equations?

Here are 5 related questions to explore:

1. How do you solve quadratic equations by factoring?
2. What happens if a quadratic equation has no real solutions?
3. How can you solve quadratics using the quadratic formula?
4. What is the relationship between the discriminant and the number of solutions?
5. What does the graph of a quadratic function look like?

**Tip**: Always check for common factors in quadratic equations before attempting other solving methods like completing the square or using the quadratic formula.

In the game of hoops, you’ve got a crucial play: the equation p^2 - 25p = 0. Which of the following players (solutions) is ready to step up and sink the winning shot? -25, -5, 10, 25, 5

Learn how to solve the quadratic equation p^2 - 25p = 0 using factoring. This solution demonstrates key algebraic concepts like the zero product property, factoring quadratic equations, and provides a clear step-by-step approach. Perfect for students in Grades 8-10.

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