Rearrange Terms: Step Title: Rearrange the Terms Concise Step Description: Rearrange the terms of the quadratic equation in descending order of the powers of x. Calculation: The given equation is 3x + x^2 - 10. Rearrange it to x^2 + 3x - 10. Math Error Check: 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 1, 3, and -10. Calculation: Coefficients are 1, 3, -10. Math Error Check: Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to -10 (the last term) and add to 3 (the coefficient of the middle term). Calculation: Factors of -10 that add up to 3 are 5 and -2. Math Error Check: 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. Calculation: The factored form is (x + 5)(x - 2). Math Error Check:

Algebra 2

Factor polynomials

Full solution

3 x+x^{2}-10

Rearrange Terms: Step Title: Rearrange the Terms $\newline$ Concise Step Description: Rearrange the terms of the quadratic equation in descending order of the powers of $x$ . $\newline$ Calculation: The given equation is $3x + x^2 - 10$ . Rearrange it to $x^2 + 3x - 10$ . $\newline$ Math Error Check:
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 $1$ , $3$ , and $-10$ . $\newline$ Calculation: Coefficients are $1$ , $3$ , $-10$ . $\newline$ Math Error Check:
Find Factors: Step Title: Find the Factors $\newline$ Concise Step Description: Find two numbers that multiply to $-10$ (the last term) and add to $3$ (the coefficient of the middle term). $\newline$ Calculation: Factors of $-10$ that add up to $3$ are $5$ and $-2$ . $\newline$ Math Error Check:
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. $\newline$ Calculation: The factored form is $(x + 5)(x - 2)$ . $\newline$ Math Error Check: