Question

x5+3x4-5x3+14x2+30-16 by 2x-5​

Answer 1

$lets \: simplify \: step \: by \: step$

${x}^{5} + {3x}^{4} - {5x}^{3} + {14x}^{2} + 30 - \frac{16}{2} x - 5$

$= {x}^{5} + {3x}^{4} + ( - {5x}^{3} ) + {14x}^{2} + 30 + ( - 8x) + ( - 5)$

$combine \: \: like \: \: terms$

$= {x}^{5} + {3x}^{4} + ( {5x}^{3}) + {14x}^{2} + 30 + ( - 8x) + ( - 5)$

$= ( {x}^{5} ) + ( {3x}^{4} ) \\ + ( - {5x}^{3} ) + ( {14x}^{2} ) \\ + ( - 8x) + {30 + ( - 5)}$

$= {x}^{5} + {3x}^{4} + ( - {5x}^{3} ) + {14x}^{2} + ( - 8x) + 25$

$= {x}^{5} + {3x}^{4} - {5x}^{3} + {14x}^{2} - 8x + 25$

༒︎ Hence Verified ༒︎