Question 178642
# 1



{{{2x^3-3x^2+4x}}} Start with the given equation.



{{{2(-2)^3-3(-2)^2+4(-2)}}} Plug in {{{x=-2}}}.



{{{2(-8)-3(-2)^2+4(-2)}}} Cube {{{-2}}} to get {{{-8}}}.



{{{2(-8)-3(4)+4(-2)}}} Square {{{-2}}} to get {{{4}}}.



{{{-16-3(4)+4(-2)}}} Multiply {{{2}}} and {{{-8}}} to get {{{-16}}}.



{{{-16-12+4(-2)}}} Multiply {{{-3}}} and {{{4}}} to get {{{-12}}}.



{{{-16-12-8}}} Multiply {{{4}}} and {{{-2}}} to get {{{-8}}}.



{{{-36}}} Combine like terms.



So {{{2x^3-3x^2+4x=-36}}} when {{{x=-2}}}


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# 2



{{{x^5+x^4+x^3+x^2+1}}} Start with the given expression.



{{{(2)^5+(2)^4+(2)^3+(2)^2+1}}} Plug in {{{x=2}}}.



{{{32+(2)^4+(2)^3+(2)^2+1}}} Raise  {{{2}}} to the 5th power to get {{{32}}}.



{{{32+16+(2)^3+(2)^2+1}}} Raise  {{{2}}} to the 4th power to get {{{16}}}.



{{{32+16+8+(2)^2+1}}} Cube {{{2}}} to get {{{8}}}.



{{{32+16+8+4+1}}} Square {{{2}}} to get {{{4}}}.



{{{61}}} Combine like terms.



So {{{x^5+x^4+x^3+x^2+1=61}}} when {{{x=2}}}