Question

Question of Division of Algebra.Plz Help

Answer 1

Answer:

$2 {a}^{3} + 5a - {5a}^{2} - 3 \div 2a - 3 \\ \\ 2 {a}^{3} - 5 {a }^{2} + 5a - 3 \div 2a - 3 \\ \\ = \frac{2 {a}^{3} - 5 {a}^{2} + 5a - 3 }{2a - 3} \\ \\ = {a}^{2} - a + 1 \\ \\ \\ verify \: = = > > \\ if \: \: ({a}^{2} - a + 1)(2a - 3) \\ = 2 {a}^{3 } - 2 {a}^{2} + 2a - 3 {a}^{2} + 3a - 3 \\ \\ = 2 {a}^{3} - 5 {a}^{2} + 5 a - 3 \: \: \: answer$