Factor. 2h^2 + 24h - 26 ____

Find Numbers: First, we need to find two numbers that multiply to 2 * (-26) = -52 and add up to 24.Verify Numbers: Looking for two such numbers, we find that 26 and -2 work because 26 * (-2) = -52 and 26 + (-2) = 24.Rewrite Middle Term: Now, we rewrite the middle term using 26 and -2: 2h^2 + 26h - 2h - 26.Factor by Grouping: Next, we factor by grouping: (2h^2 + 26h) + (-2h - 26).Factor Common Terms: Factor out the common terms from each group: 2h(h + 13) - 2(h + 13).Factor Out: Now, we can factor out (h + 13) from both terms: (2h - 2)(h + 13).Final Simplification: Finally, we can factor out a 2 from the first term to simplify: 2(h - 1)(h + 13).

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Algebra 2

Factor quadratics

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Q. Factor.

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2h^2 + 24h - 26

Find Numbers: First, we need to find two numbers that multiply to $2 \times (-26) = -52$ and add up to $24$ .
Verify Numbers: Looking for two such numbers, we find that $26$ and $-2$ work because $26 \times (-2) = -52$ and $26 + (-2) = 24$ .
Rewrite Middle Term: Now, we rewrite the middle term using $26$ and $-2$ : $2h^2 + 26h - 2h - 26$ .
Factor by Grouping: Next, we factor by grouping: $2h^2 + 26h$ + $-2h - 26$ .
Factor Common Terms: Factor out the common terms from each group: $2h(h + 13) - 2(h + 13)$ .
Factor Out: Now, we can factor out $(h + 13)$ from both terms: $(2h - 2)(h + 13)$ .
Final Simplification: Finally, we can factor out a $2$ from the first term to simplify: $2(h - 1)(h + 13)$ .