Question

please tell answer of this question​

Answer 1

p(x) = x⁴ - 2x³ + 3x² - ax + b

g(x) = (x - 1) then remainder = 5

f(x) = (x + 1) then remainder = 19

A.T.Q

when x = 1 , remainder = 5

(1)⁴ - 2(1)³ + 3(1)² - a(1) + b = 5

1 - 2 + 3 - a + b = 5

2 - a + b = 5

-a + b = 3 ------------(i)

Now,

x = -1 , remainder = 19

(-1)⁴ - 2(-1)³ + 3(-1)² - a(-1) + b = 19

1 + 2 + 3 + a + b = 19

a + b = 19 - 6

a + b = 13 --------------(ii)

Or,

- a + b = 3

a + b = 13
---------------------
2b = 16
---------------------

b = 16/2 = 8

a + b = 13

a + 8 = 13

a = 13 - 8 = 5

Hence, a = 5, b = 8

Answer 2

Answer:

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