Question

if the polynomial x ^4-5x+6is divided by x^2-2.the remainder comes out to be ax +B find a and b​

Answer 1

Answer

a= - 5

b=10

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Answer 2

Answer:

a=-5,b=10

Step-by-step explanation:

let f(x)=x^4+0x^3+0x^2-5x+6

divisor=x^2+0x-2

=>x^2+0x-2)x^4+0x^3+0x^2-5x+6(x^2+2

x^4+0x^3-2x^2.

(-). (-). (+)

-------------------------------

2x^2-5x+6

2x^2+0x-4

(-). (-). (+)

----------------

-5x+10

given remainder =ax+b

by comparing ax=-5x =>a=-5x/x =>a=-5 ,b=10