To factor the quadratic expression \( d^2 + 5d + 4 \), we need to find two numbers that multiply to the constant term (4) and add up to the coefficient of the linear term (5).
The numbers that satisfy these conditions are 1 and 4, since:
- \( 1 \times 4 = 4 \)
- \( 1 + 4 = 5 \)
Now we can factor the expression as follows:
\[ d^2 + 5d + 4 = (d + 1)(d + 4) \]
Thus, the factored form of \( d^2 + 5d + 4 \) is:
\[ (d + 1)(d + 4) \]
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