Question

x² + 17x + 72
answer attempt 1 out of 10
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Explanation:

Step1: Find two numbers that multiply to 72 and add to 17.

We need to find two integers \( a \) and \( b \) such that \( a \times b = 72 \) and \( a + b = 17 \). By factoring 72, we find that \( 8 \times 9 = 72 \) and \( 8 + 9 = 17 \).

Step2: Factor the quadratic expression.

Using the numbers 8 and 9, we can factor \( x^2 + 17x + 72 \) as \( (x + 8)(x + 9) \).

Answer:

\((x + 8)(x + 9)\)