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## Question:

Factor x2 – 8x + 15. Which pair of numbers has a product of ac and a sum of b?

## Answer:

The pair of numbers that has a product of ac and a sum of b is **(x – 5) (x -3.)**

### What is a quadratic equation?

A **quadratic equation **is used for the expression of **algebraic terms** in their **second degree.** It is used written in the form:

- ax² + bx + c = 0

From the given information:

- x² – 8x + 15 = 0

where;

- a = 1
- b = – 8
- c = 15

To determine the **product **of **ac** and the **sum **of** b;**

We will look for two values that when we multiply them together, we will have +15 and when we add them together we will have -8.

The two values are** -3 **and **– 5**

- The product of -3 and – 15 is ac = +15
- The sum of -3 and -5 is b = -8

Now, the** quadratic equation** becomes:

x² – 3x – 5x + 15 = 0

x(x -3) -5(x -3) = 0

**(x -5) (x – 3) = 0**

Learn more about **quadratic equations** here:

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