Question

hi how to solve this using remainder theoram​

Answer 1

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Answer 2

Step-by-step explanation:

p(x)=2x

3

−11x

2

+19x−10

g(x)=2x−5

x

2

−3x+2

___________________

2x−5)2x

3

−11x

2

+19x−10

2x

3

−5x

2

(−) (+)

____________________

−6x

2

+19x

−6x

2

+15x

(+) (−)

____________________

+4x−10

+4x−10

__________________

0

2x

3

−11x

2

+19x−10=(2x−5)(x

2

−3x+2)

∴ Quotient =x

2

−3x+2

Remainder =0.