Factor the quadratic expression completely. 2x^(2)-13 x+20=

Question

Factor the quadratic expression completely.  2x^(2)-13 x+20=

Bytelearn · Accepted Answer

Identify Coefficients: Step Title: Identify the Coefficients Concise Step Description: Identify the coefficients of the quadratic expression, which are the numbers in front of the variables. In this case, the coefficients are 2, -13, and 20. Step Calculation: Coefficients are 2, -13, 20 Step Output: Coefficients: 2, -13, 20Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first and last coefficients (2*20=40) and add to the middle coefficient (-13). Step Calculation: Factors of 40 that add up to -13 are -5 and -8. Step Output: Factors: -5, -8Rewrite 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: 2x^2 - 5x - 8x + 20 Step Output: Rewritten Expression: 2x^2 - 5x - 8x + 20Factor by Grouping: Step Title: Factor by Grouping Concise Step Description: Group the terms into two pairs and factor out the common factors from each pair. Step Calculation: (2x^2 - 5x) + (-8x + 20) = x(2x - 5) - 4(2x - 5) Step Output: Grouped Factors: x(2x - 5) - 4(2x - 5)Factor Out Common Binomial: Step Title: Factor Out the Common Binomial Concise Step Description: Factor out the common binomial factor from the grouped terms. Step Calculation: (x - 4)(2x - 5) Step Output: Factored Form: (x - 4)(2x - 5)

Factor the quadratic expression completely. $\newline$ $2x^{2}-13x+20=$

Full solution

More problems from Factor polynomials

Related topics

Factor the quadratic expression completely.\newline2x2−13x+20=2x^{2}-13x+20=2x2−13x+20=

Factor the quadratic expression completely. $\newline$ $2x^{2}-13x+20=$