larryhinesx4987 larryhinesx4987
  • 21-10-2019
  • Mathematics
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Consider the polynomial function P(x)=2x³+3x²-2x-3.Verify that P(−1) = 0. Since P(−1) = 0, what must one of the factors of P be?

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aristeus aristeus
  • 24-10-2019

Answer:

So (x+1) will be the one of factor of given polynomial

Step-by-step explanation:

We have given the equation [tex]2x^3+3x^2-2x-3[/tex]

First we have to find the value of [tex]p(-1)[/tex]

For finding  [tex]p(-1)[/tex]  we have to put x = -1 in the polynomial

So [tex]p(-1)=2\times (-1)^3+3(1)^2-2\times (-1)-3=-2+3+2-3=0[/tex]

As  [tex]p(-1)[/tex]  is zero so x = -1 will be the root of the given polynomial

So (x+1) will be the one of factor of given polynomial

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