simplify 6n35n27n42n1Solution6n3 5n2 7n 4 6n3 3n2 2n2

simplify (6n³-5n²-7n+4)/(2n-1)

Solution

6n³ - 5n² -7n + 4 = 6n³ - 3n² - 2n² + n - 8n + 4 = 3n²( 2n -1) - n (2n - 1) - 4(2n -1) = (2n -1)(3n² - n - 4). Therefore,

(6n³ - 5n² -7n + 4 )/ ( 2n- 1) = (2n -1)(3n² - n - 4)/ (2n -1) = 3n² - n - 4 = 3n² + 3n - 4n - 4 = 3n( n + 1) - 4 (n +1) =

(n + 1)(3n - 4)