Question 88483
A)

{{{f(x)=2x^2-5x}}} Start with the given polynomial



{{{f(-2)=2(-2)^2-5(-2)}}} Plug in {{{x=-2}}}



{{{f(-2)=2(4)-5(-2)}}} Raise -2 to the second power to get 4



{{{f(-2)=8-5(-2)}}} Multiply 2 by 4 to get 8



{{{f(-2)=8--10}}} Multiply 5 by -2 to get -10



{{{f(-2)=18}}} Now combine like terms



B)


{{{f(x)=2x^2-5x}}} Start with the given polynomial



{{{f(0)=2(0)^2-5(0)}}} Plug in {{{x=0}}}



{{{f(0)=2(0)-5(0)}}} Raise 0 to the second power to get 0



{{{f(0)=0-5(0)}}} Multiply 2 by 0 to get 0



{{{f(0)=0-0}}} Multiply 5 by 0 to get 0



{{{f(0)=0}}} Now combine like terms


C)

{{{f(x)=2x^2-5x}}}  Start with the given polynomial


{{{2*f(x)=2(2x^2-5x)}}}  Multiply the entire polynomial by 2


{{{2*f(x)=2*2x^2-2*5x}}}  Distribute


{{{2*f(x)=4x^2-10x}}}  Multiply



D)

{{{f(x)=2x^2-5x}}}  Start with the given polynomial


{{{f(2x)=2(2x)^2-5(2x)}}}  Plug in {{{x=2x}}}


{{{f(2x)=2(4x^2)-5(2x)}}}  Square {{{2x}}}


{{{f(2x)=8x^2-5(2x)}}}  Multiply 2 and {{{4x^2}}}


{{{f(2x)=8x^2-10x}}}  Multiply 5 and 2x