Identify Coefficients: Step Title: Identify the Coefficients Reasoning: Identify the coefficients of the quadratic equation, which are 1 for y^2, 2 for y, and -15 as the constant. Calculation: Coefficients are 1, 2, -15Find Factors: Step Title: Find the Factors Reasoning: Find two numbers that multiply to -15 (the constant) and add to 2 (the coefficient of the middle term). Calculation: Factors of -15 that add up to 2 are 5 and -3.Write Factored Form: Step Title: Write the Factored Form Reasoning: Use the factors found to write the quadratic in its factored form. Calculation: The factored form is (y + 5)(y - 3).

Algebra 2

Factor polynomials

Full solution

y^{2}+2y-15=0

Identify Coefficients: Step Title: Identify the Coefficients $\newline$ Reasoning: Identify the coefficients of the quadratic equation, which are $1$ for $y^2$ , $2$ for $y$ , and $-15$ as the constant. $\newline$ Calculation: Coefficients are $1$ , $2$ , $-15$
Find Factors: Step Title: Find the Factors $\newline$ Reasoning: Find two numbers that multiply to $-15$ (the constant) and add to $2$ (the coefficient of the middle term). $\newline$ Calculation: Factors of $-15$ that add up to $2$ are $5$ and $-3$ .
Write Factored Form: Step Title: Write the Factored Form $\newline$ Reasoning: Use the factors found to write the quadratic in its factored form. $\newline$ Calculation: The factored form is $(y + 5)(y - 3)$ .