SOLUTION: Evaluate each polynomial expression for the indicated value of x. {{{2x^3-3x^2+4x}}}, x= -2 {{{x^5+x^4+x^3+x^2+1}}}, x=2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Evaluate each polynomial expression for the indicated value of x. {{{2x^3-3x^2+4x}}}, x= -2 {{{x^5+x^4+x^3+x^2+1}}}, x=2      Log On


   

Question 178642: Evaluate each polynomial expression for the indicated value of x.
2x%5E3-3x%5E2%2B4x, x= -2
x%5E5%2Bx%5E4%2Bx%5E3%2Bx%5E2%2B1, x=2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1


2x%5E3-3x%5E2%2B4x Start with the given equation.


2%28-2%29%5E3-3%28-2%29%5E2%2B4%28-2%29 Plug in x=-2.


2%28-8%29-3%28-2%29%5E2%2B4%28-2%29 Cube -2 to get -8.


2%28-8%29-3%284%29%2B4%28-2%29 Square -2 to get 4.


-16-3%284%29%2B4%28-2%29 Multiply 2 and -8 to get -16.


-16-12%2B4%28-2%29 Multiply -3 and 4 to get -12.


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


-36 Combine like terms.


So 2x%5E3-3x%5E2%2B4x=-36 when x=-2



# 2


x%5E5%2Bx%5E4%2Bx%5E3%2Bx%5E2%2B1 Start with the given expression.


%282%29%5E5%2B%282%29%5E4%2B%282%29%5E3%2B%282%29%5E2%2B1 Plug in x=2.


32%2B%282%29%5E4%2B%282%29%5E3%2B%282%29%5E2%2B1 Raise 2 to the 5th power to get 32.


32%2B16%2B%282%29%5E3%2B%282%29%5E2%2B1 Raise 2 to the 4th power to get 16.


32%2B16%2B8%2B%282%29%5E2%2B1 Cube 2 to get 8.


32%2B16%2B8%2B4%2B1 Square 2 to get 4.


61 Combine like terms.


So x%5E5%2Bx%5E4%2Bx%5E3%2Bx%5E2%2B1=61 when x=2