Factor. g^2 - 2g - 3 ____

Identify Form of Quadratic Trinomial: Identify the form of the quadratic trinomial, which is g^2 - 2g - 3.Find Multiplying and Adding Numbers: Look for two numbers that multiply to -3 (the constant term) and add up to -2 (the coefficient of the linear term).Use Numbers for Factored Form: The numbers -3 and 1 work because -3 * 1 = -3 and -3 + 1 = -2.Check Factoring by Expanding: Write the factored form using these two numbers: (g - 3)(g + 1).Simplify Expanded Form: Check the factoring by expanding (g - 3)(g + 1) to see if it gives the original expression.Expanding gives: g^2 + g - 3g - 3, which simplifies to g^2 - 2g - 3.

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Algebra 2

Factor quadratics

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Q. Factor.

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g^2 - 2g - 3

Identify Form of Quadratic Trinomial: Identify the form of the quadratic trinomial, which is $g^2 - 2g - 3$ .
Find Multiplying and Adding Numbers: Look for two numbers that multiply to $-3$ (the constant term) and add up to $-2$ (the coefficient of the linear term).
Use Numbers for Factored Form: The numbers $-3$ and $1$ work because $-3 \times 1 = -3$ and $-3 + 1 = -2$ .
Check Factoring by Expanding: Write the factored form using these two numbers: $(g - 3)(g + 1)$ .
Simplify Expanded Form: Check the factoring by expanding $(g - 3)(g + 1)$ to see if it gives the original expression.
Simplify Expanded Form: Check the factoring by expanding $(g - 3)(g + 1)$ to see if it gives the original expression.Expanding gives: $g^2 + g - 3g - 3$ , which simplifies to $g^2 - 2g - 3$ .