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
2 answers:
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!!
Answer: ( X- k )(3x2 - 4x + 7) + 1
Step-by-step explanation: Please find the attached files for the solution
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