Which expression is equivalent to x2−17x−60

To find the expression equivalent to \( x^2 - 17x - 60 \), we need to factor the quadratic expression.

We are looking for two numbers that multiply to give \(-60\) (the constant term) and add to give \(-17\) (the coefficient of \(x\)).

These two numbers are \(-20\) and \(3\), since:

- \( -20 \times 3 = -60 \)
- \( -20 + 3 = -17 \)

Thus, the factored form of the quadratic expression is:

\[
x^2 - 17x - 60 = (x - 20)(x + 3)
\]

The expression equivalent to \( x^2 - 17x - 60 \) is \( (x - 20)(x + 3) \).

Would you like more details on factoring quadratics, or do you have any other questions?

Here are five related questions:

1. How do you factor a quadratic expression when the leading coefficient is not 1?
2. What is the quadratic formula, and how can it be used to solve \( x^2 - 17x - 60 = 0 \)?
3. How do you solve quadratic equations by completing the square?
4. How can you use the discriminant to determine the nature of the roots of a quadratic equation?
5. How do you factor differences of squares?

**Tip:** Always check your factored expression by expanding it back to ensure it matches the original expression.

Which expression is equivalent to x^2 - 17x - 60?

Learn how to factor the quadratic expression x^2 - 17x - 60 step by step. This algebraic problem involves finding factors of -60 that sum to -17. Ideal for students in Grades 8-10, this lesson covers key concepts in factoring and quadratic equations.

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