Identify Coefficients: Step Title: Identify the Coefficients Concise Step Description: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are 5, 5, and -2. Step Calculation: Coefficients are 5, 5, -2.Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first and last coefficients (5 * -2 = -10) and add to the middle coefficient (5). Step Calculation: Factors of -10 that add up to 5 are 5 and -2.Write Factored Form: Step Title: Write the Factored Form Concise Step Description: Write the factored form of the quadratic equation using the factors found in the previous step. Step Calculation: The factored form is (5x - 2)(x + 1).

Algebra 2

Factor polynomials

Full solution

Q. Factor:

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5x^2+5x-3=-1

Identify Coefficients: Step Title: Identify the Coefficients $\newline$ Concise Step Description: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are $5$ , $5$ , and $-2$ . $\newline$ Step Calculation: Coefficients are $5$ , $5$ , $-2$ .
Find Factors: Step Title: Find the Factors $\newline$ Concise Step Description: Find two numbers that multiply to the product of the first and last coefficients $5 \times -2 = -10$ and add to the middle coefficient $5$ . $\newline$ Step Calculation: Factors of $-10$ that add up to $5$ are $5$ and $-2$ .
Write Factored Form: Step Title: Write the Factored Form $\newline$ Concise Step Description: Write the factored form of the quadratic equation using the factors found in the previous step. $\newline$ Step Calculation: The factored form is $(5x - 2)(x + 1)$ .