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Juliette [100K]
3 years ago
9

Express the polynomial below in the form P(x) = (x - k) times the quotient plus the remainder for the given value of k. P(x) = 3

x3 - x2 + 2x + 7; k = -1

Mathematics
2 answers:
Neko [114]3 years ago
7 0

Answer:

P(x) = (3x^2 + -4x + 6)(x +1 ) + ( 1 )/( x + 1)

Step-by-step explanation:

First we have to divide the polynomial

3x^3  - x^2 + 2x + 7    |<u>  x+1   </u>

<u>-3x^3 - 3x^2</u>                3x^2 - 4x +6

         -4x^2 +2x +7

          <u>4x^2 +4x </u>    

                    6x + 7

                    <u>-6x - 6</u>

                            1

Hence we have

P(x)=(x-k)Q(x) + R(x) = (x-k)Q(x) + 1/(x-k)

P(x) = 3x^3 - x^2 + 7 = (3x^2 + -4x + 6)(x +1 ) + ( 1 )/( x + 1)

HOPE THIS HELPS!!

Sergeu [11.5K]3 years ago
4 0

Answer: ( X- k )(3x2 - 4x + 7) + 1

Step-by-step explanation: Please find the attached files for the solution

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