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Factor completely... Please help me with this

Factor completely... Please help me with this-example-1
User Seangrieve
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Answer: (5x - 1)(x + 9)

Explanation:

Please note the method of factoring may differ per class, but this is how I was taught.

First, we will multiply the coefficient of x² by the constant.

5 * -9 = -45

Next, we will find two numbers that add up to 44 (coefficient of x) and multiply to -45 (the number we got above).

-1 * 45 = 45

-1 + 45 = 44

-1 and 45 ✓

Now, we can start to factor. First, we will rewrite 44x.

5x² + 45x - 1x - 9

Then, we will factor by grouping.

5x(x + 9) -1(x + 9) ➜ (5x - 1)(x + 9)

The completely factored form is:

(5x - 1)(x + 9)

User Amica
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