Question

efetue as divisões:
(4x²+8x³-x⁴):(x²)
(5x⁴-6x³+10x²):(-2x²)
(4x⁷+x⁵-x³):(-x²)​

Answer 1

Resposta:

$a) \: (4 {x}^{2} + 8 {x}^{3} - {x}^{4} ) \div ( {x}^{2} ) \\ 4 + 8 {x} - {x}^{2} \\ - {x}^{2} + 8x + 4$

$b) \: (5 {x}^{4} - 6 {x}^{3} + 10 {x}^{2}) \div ( - 2 {x}^{2} ) \\ \\ \frac{5 {x}^{4} - 6 {x}^{3} + 10 {x}^{2} }{ - 2 {x}^{2} } \\ \\ \frac{ {x}^{2} \times (5 {x}^{2} - 6x + 10)}{ - 2 {x}^{2} } \\ \\ \frac{5 {x}^{2} - 6x + 10}{ - 2} \\ \\ = - \frac{5 {x}^{2} - 6x + 10}{2}$

$( {4x}^{7} + {x}^{5} - {x}^{3} ) \div ( - {x}^{2} ) \\ \\ \frac{4 {x}^{7} + {x}^{5} - {x}^{3} }{ - {x}^{2} } \\ \\ \frac{ {x}^{2} \times (4 {x}^{5} + {x}^{3} - x) }{ - {x}^{2} } \\ \\ - (4 {x}^{5} + {x}^{3} - x) \\ = - 4 {x}^{5} - {x}^{3} + x$