Question

find the answers for given question

Answer 1

${x}^{3} + 3 {x}^{2} + 3x + 1 \\ 1)x + 1 \\ x = - 1 \\ ( { - 1)}^{3} + 3( { - 1)}^{2} + 3( - 1) + 1 \\ = - 1 + 3 - 3 + 1 \\ = 0 \\ 2)x - \frac{1}{2} \\ x = \frac{1}{2} \\ ( { \frac{1}{2} )}^{3} + 3 {( \frac{1}{2} )}^{2} + 3 (\frac{1}{2}) + 1 \\ = \frac{1}{8} + \frac{3}{4} + \frac{3}{2} + 1 \\ = \frac{1 + 6 + 12 + 8}{8} \\ = \frac{27}{8} \: \: \: ans \\ 3)x = 1 \\ = {(1)}^{3} + 3 {(1)}^{2} + 3(1) + 1 \\ = 1 + 3 + 3 + 1 \\ = 8 \: \: ans \\ 4)x + \pi \\ x = - \pi \\ - {(\pi)}^{3} + 3 {(\pi)}^{2} + 3\pi + 1 \: \: \: ans \\ 5) \: 5 + 2x \\ x = \frac{ - 5}{2} \\ = \frac{ - 125}{8} + \frac{75}{4} - \frac{15}{2} + 1 \\ = \frac{ - 125 + 150 - 60 + 8}{8} \\ = \frac{27}{8}$