Factor completely. 3x^(2)-5x-8 Answer:

Question

Factor completely.  3x^(2)-5x-8 Answer:

Bytelearn · Accepted Answer

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 3, -5, and -8. Step Calculation: Coefficients are 3, -5, -8 Step Output: Coefficients: 3, -5, -8Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first coefficient (3) and the last term (-8), which is -24, and add to the middle coefficient (-5). Step Calculation: Factors of -24 that add up to -5 are -8 and 3. Step Output: Factors: -8, 3Rewrite Middle Term: Step Title: Rewrite the Middle Term Concise Step Description: Rewrite the middle term using the factors found in the previous step. Step Calculation: Rewrite -5x as -8x + 3x. Step Output: Rewritten quadratic: 3x^2 - 8x + 3x - 8Group Terms: Step Title: Group the Terms Concise Step Description: Group the terms into two pairs to prepare for factoring by grouping. Step Calculation: Group as (3x^2 - 8x) + (3x - 8). Step Output: Grouped terms: (3x^2 - 8x) + (3x - 8)Factor by Grouping: Step Title: Factor by Grouping Concise Step Description: Factor out the greatest common factor from each group. Step Calculation: Factor out x from the first group and 1 from the second group. Step Output: Factored groups: x(3x - 8) + 1(3x - 8)Factor Out Common Binomial: Step Title: Factor Out the Common Binomial Concise Step Description: Factor out the common binomial factor from the two groups. Step Calculation: Factor out (3x - 8). Step Output: Factored completely: (x + 1)(3x - 8)

Factor completely. $\newline$ $3 x^{2}-5 x-8$ $\newline$ Answer:

Full solution

More problems from Factor polynomials

Related topics

Factor completely.\newline3x2−5x−8 3 x^{2}-5 x-8 3x2−5x−8\newlineAnswer:

Factor completely. $\newline$ $3 x^{2}-5 x-8$ $\newline$ Answer: