anonymous
  • anonymous
Find the remainder when f(x) is divided by (x - k) f(x) = 4x^3 - 6x^2 + 3x + 1; k= -2 -3 -61 26 -49
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@Hero @Loser66 @robtobey
Nnesha
  • Nnesha
substitute k for -2 into the divisor (x-k) then solve for x
Nnesha
  • Nnesha
set it equal to zero \[ x-(\color{red}{-2})=0\] x= ?

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Nnesha
  • Nnesha
and then substitute x for its value into f(x) function to find remainder
anonymous
  • anonymous
\[\text{PolynomialQuotientRemainder}\left[4 x^3-6 x^2+3 x+1,x--2,x\right] \]{31 - 14 x + 4 x^2, -61} Quotient, Remainder
anonymous
  • anonymous
Above from Mathematica v9
anonymous
  • anonymous
x = -2?
Nnesha
  • Nnesha
yes right now substitute x for -2 \[f(x) = 4x^3 - 6x^2 + 3x + 1\] then solve right side
anonymous
  • anonymous
x--2 = x + 2
anonymous
  • anonymous
oh okay i see, it sums up to -61
Nnesha
  • Nnesha
yes right.
anonymous
  • anonymous
okay thank you both
Nnesha
  • Nnesha
yw

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