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Factor. $\newline$ $d^2 - 4d - 5$

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Factor quadratics

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Q. Factor.

\newline

d^2 - 4d - 5

Identify Numbers: Look for two numbers that multiply to $-5$ (the constant term) and add up to $-4$ (the coefficient of the middle term).
Verify Numbers: The numbers $-5$ and $1$ work because $-5 \times 1 = -5$ and $-5 + 1 = -4$ .
Write Factored Form: Write the factored form using these two numbers: $(d - 5)(d + 1)$ .
Check Factoring: Check the factoring by expanding $(d - 5)(d + 1)$ to see if it gives the original expression. $(d - 5)(d + 1) = d^2 + d - 5d - 5 = d^2 - 4d - 5.$

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