Factor completely. 5x^(2)-26 x+5 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 5, -26, and 5. Step Calculation: Coefficients are 5, -26, 5 Step Output: Coefficients: 5, -26, 5Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first and last coefficients (5 * 5 = 25) and add to -26 (the coefficient of the middle term). Step Calculation: Factors of 25 that add up to -26 are not immediately apparent. We need to find two numbers that multiply to 25 and add up to -26. This is a bit tricky since 25 is a prime number, so the only pairs of factors are 1 and 25 or -1 and -25. Neither of these pairs add up to -26. Step Output: Unable to find factors that meet the criteria.

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Q. Factor completely.

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5 x^{2}-26 x+5

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Answer:

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 $5$ , $-26$ , and $5$ . $\newline$ Step Calculation: Coefficients are $5$ , $-26$ , $5$ $\newline$ Step Output: Coefficients: $5$ , $-26$ , $5$
Find Factors: Step Title: Find the Factors $\newline$ Concise Step Description: Find two numbers that multiply to the product of the first and last coefficients $5 \times 5 = 25$ and add to $-26$ (the coefficient of the middle term). $\newline$ Step Calculation: Factors of $25$ that add up to $-26$ are not immediately apparent. We need to find two numbers that multiply to $25$ and add up to $-26$ . This is a bit tricky since $25$ is a prime number, so the only pairs of factors are $1$ and $25$ or $-1$ and $-26$ $0$ . Neither of these pairs add up to $-26$ . $\newline$ Step Output: Unable to find factors that meet the criteria.