Question

. 2. Find the quotient and reminder when the polynomial p(x) = x^2 5x + 6 is divided by g(x) = 2 + x2 ​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Q(x) = 1  

R(x) = 5x +4

Step-by-step explanation (1st Method):

let g(x) = 0

x²+2 =0

x=√-2

then x =i√2

as R (real no.) ÷ C (complex no.) = 1

Q(x) = 1

R(x) ⇒

P(i√2) = (i√2)²+5(i√2)+6

⇒-2+6+5(i√2)

⇒5(i√2)+4

Substitute x with i√2

5x+4  ∴ Hence Proved

Step-by-step explanation (2nd Method):

x²+2  | x²+5x+6  | 1

          -x²-0x-2

         ________

           5x+4

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