Question

(d), 2x + x5 - 52x2 + 15x,+ 2 by x3 + 5x - 2​

Answer 1

Answer:

$\mathrm{Long\:division}\:\frac{2x+x^5-52x^2+15x+2}{x^3+5x-2}:\quad x^2-5+\frac{-50x^2+42x-8}{x^3+5x-2}$

Step-by-step explanation:

$\frac{2x+x^5-52x^2+15x+2}{x^3+5x-2}$

$=\frac{x^5-52x^2+17x+2}{x^3+5x-2}$

$=x^2+\frac{-5x^3-50x^2+17x+2}{x^3+5x-2}$

$=x^2-5+\frac{-50x^2+42x-8}{x^3+5x-2}$