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Let $f(x)=2x^4+x^3+x^2-3x+r$. For what value of $r$ is $f(2)=0$?

 Jun 1, 2020
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For what value of r in the formula:  f(x)  =  2x4 + x3 + x2- 3x + r  does  f(2)  =  0?

 

Replace x with 2:  2·24 + 23 + 22- 3·2 + r  =  32 + 8 + 4 - 6 + r  =  38 + r

This value is to equal 0:   38 + r  =  0

                                                 r  =  -38

 Jun 2, 2020

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