anonymous
  • anonymous
Help? Which of the following is an actual zero of f(x) = x3 + x2 - 4x - 4? (4 points) 4 1 -1 -4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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jdoe0001
  • jdoe0001
use the remainder theorem if 4 is, then f(4) = 0 if 1 is, then f(1) = 0 if -1 is, then f(-1) =0 and if -4 is instead, then f(-4) =0
anonymous
  • anonymous
@jdoe0001 im so confused. It has -4 in the equation... would it be D?
jdoe0001
  • jdoe0001
-4 in the equation means nothing, in relation to a root the remainder theorem only pertains to the constant in the binomial

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jdoe0001
  • jdoe0001
so get the f(x) values, see which of the choices give you 0
jdoe0001
  • jdoe0001
the one that gives 0, is the root
anonymous
  • anonymous
@jdoe0001 i got 1
jdoe0001
  • jdoe0001
so... what's 1 again? or...what's f(1) ?
jdoe0001
  • jdoe0001
\(\bf f(x)=x^3+x^2-4x-4 \\ \quad \\ f({\color{brown}{ 1}})=({\color{brown}{ 1}})^3+({\color{brown}{ 1}})^2-4({\color{brown}{ 1}})-4\implies f(1)\ne 0\)
anonymous
  • anonymous
so it wasnt one?
jdoe0001
  • jdoe0001
well. what did you get for f(1)? assume that you did it
anonymous
  • anonymous
0
jdoe0001
  • jdoe0001
\(\bf f(x)=x^3+x^2-4x-4 \\ \quad \\ f({\color{brown}{ 1}})=({\color{brown}{ 1}})^3+({\color{brown}{ 1}})^2-4({\color{brown}{ 1}})-4\implies f(1)=1+1-4-4 \\ \quad \\ f(1)=2-8\implies f(1)=-6\)
anonymous
  • anonymous
but i guess i wrote it out wrong, you had it a different way

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