Question

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Answer 1

Answer:

When we divide 6x4 + 8x3 – 5x2 + ax + b by the polynomial 2x2 – 5, we get

Quetient = 3x2 + 4x + 5

and Remainder = 20x + ax + (b - 25)

Given, the polynomial 6x4 + 8x3 – 5x2 + ax + b is exactly divisible by the polynomial 2x2– 5

So, the remainder should be zero.

Hence, 20x + ax + (b - 25) = 0

=> (20 + a)x + (b - 25) = 0

It will be equal to zero only if 20 + a = 0 and b - 25 = 0

=> 20 + a = 0

=> a = -20

and b - 25 = 0

=> b = 25

So, the value of a is -20 and b is 25

Answer 2

Answer:

A is minus twenty and

B is twenty five