Identify Coefficients: Step Title: Identify the Coefficients Reasoning: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. Here, the coefficients are 1, 3, and -3. Calculation: Coefficients are 1, 3, -3Find Factors: Step Title: Find the Factors Reasoning: Find two numbers that multiply to -3 (the last term) and add to 3 (the coefficient of the middle term). Calculation: Factors of -3 that add up to 3 are 3 and -1.Write Factored Form: Step Title: Write the Factored Form Reasoning: Write the factored form of the quadratic equation using the factors found in the previous step. Calculation: The factored form is (x + 3)(x - 1).

Algebra 2

Factor polynomials

Full solution

x^2+3x-3=0

Identify Coefficients: Step Title: Identify the Coefficients $\newline$ Reasoning: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. Here, the coefficients are $1$ , $3$ , and $-3$ . $\newline$ Calculation: Coefficients are $1$ , $3$ , $-3$
Find Factors: Step Title: Find the Factors $\newline$ Reasoning: Find two numbers that multiply to $-3$ (the last term) and add to $3$ (the coefficient of the middle term). $\newline$ Calculation: Factors of $-3$ that add up to $3$ are $3$ and $-1$ .
Write Factored Form: Step Title: Write the Factored Form $\newline$ Reasoning: Write the factored form of the quadratic equation using the factors found in the previous step. $\newline$ Calculation: The factored form is $(x + 3)(x - 1)$ .