To factor the quadratic equation \( x^2 + 10x + 16 = 0 \), we need to find two numbers that multiply to \( 16 \) (the constant term) and add up to \( 10 \) (the coefficient of the linear term).
The two numbers that satisfy these conditions are \( 2 \) and \( 8 \) because:
- \( 2 \times 8 = 16 \)
- \( 2 + 8 = 10 \)
Thus, we can factor the equation as:
\[ (x + 2)(x + 8) = 0 \]
So in the factored form \( (x + \text{Box})(x + \text{Box}) = 0 \), the numbers to enter in the boxes are \( 2 \) and \( 8 \).
When filling in the blanks, we enter:
\( (x + 2)(x + 8) = 0 \)
To follow your instructions and enter the lesser number first, it would be:
\( (x + 2)(x + 8) = 0 \)
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