Given Gx=x4+2x3-7x2-8x+12 . When Gx Is Divided By - Gauthmath

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Question

top brick is the sum of the fractions in the two bricks below it. What fraction should replace £? Give your answer in its simplest form. a Z 1/3 4/15 Watch video AnswerSHOW LESS0

Solution

user avatar imageAnswer\(\frac{3}{5}\)ExplanationStep 1: Identify the fractions in the two bricks below the top brick. The fractions are \(\frac{1}{3}\) and \(\frac{4}{15}\). Step 2: Add the two fractions to find the fraction in the top brick. To add fractions, they must have a common denominator. The least common denominator for 3 and 15 is 15. Step 3: Convert \(\frac{1}{3}\) to a fraction with a denominator of 15, which is \(\frac{5}{15}\). Step 4: Add the two fractions \(\frac{5}{15} + \frac{4}{15} = \frac{9}{15}\). Step 5: Simplify the fraction \(\frac{9}{15}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 3. Therefore, \(\frac{9}{15}\) simplifies to \(\frac{3}{5}\). So, the fraction that should replace \(£\) is \(\frac{3}{5}\).Click to rate:10(20 votes)Search questionBy textBy image/screenshotDrop your file here orClick Hereto upload

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