Factor. 2s^2 - 48s + 46 ____

Identify Quadratic Trinomial Form: Identify the form of the quadratic trinomial, which is ax^2 + bx + c.Find Multiplying and Adding Numbers: Look for two numbers that multiply to 2 * 46 (which is 92) and add up to -48.Use Numbers to Rewrite Middle Term: The numbers that work are -2 and -46 because -2 * -46 = 92 and -2 - 46 = -48.Factor by Grouping: Rewrite the middle term using the numbers found: 2s^2 - 2s - 46s + 46.Factor Out Common Factors: Factor by grouping: (2s^2 - 2s) - (46s - 46).Factor Out Common Binomial: Factor out the common factors in each group: 2s(s - 1) - 46(s - 1).Identify Mistake in Factoring: Factor out the common binomial (s - 1): (2s - 46)(s - 1).Realize there's a mistake because 2s - 46 doesn't factor out of the original expression correctly.

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Factor quadratics

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Q. Factor.

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2s^2 - 48s + 46

Identify Quadratic Trinomial Form: Identify the form of the quadratic trinomial, which is $ax^2 + bx + c$ .
Find Multiplying and Adding Numbers: Look for two numbers that multiply to $2 \times 46$ (which is $92$ ) and add up to $-48$ .
Use Numbers to Rewrite Middle Term: The numbers that work are $-2$ and $-46$ because $-2 \times -46 = 92$ and $-2 - 46 = -48$ .
Factor by Grouping: Rewrite the middle term using the numbers found: $2s^2 - 2s - 46s + 46$ .
Factor Out Common Factors: Factor by grouping: $(2s^2 - 2s) - (46s - 46)$ .
Factor Out Common Binomial: Factor out the common factors in each group: $2s(s - 1) - 46(s - 1)$ .
Identify Mistake in Factoring: Factor out the common binomial $(s - 1)$ : $(2s - 46)(s - 1)$ .
Identify Mistake in Factoring: Factor out the common binomial $(s - 1)$ : $(2s - 46)(s - 1)$ .Realize there's a mistake because $2s - 46$ doesn't factor out of the original expression correctly.