Question

Find the value of a and b so that 8⁴ + 14³− 2² + + is exactly divisible

by 4² + 3 − 2.​

Answer 1

Answer:

8x

4

+14x

3

−2x

2

+ax+b is divisible by 4x

2

+3x−2

2x

2

+2x−1

4x

2

+3x−2)8x

4

+14x

3

−2x

2

+ax+b

8x

4

+6x

3

−4x

2

_____________________

8x

3

+2x

2

+ax

8x

3

+6x

2

−4x

___________________

−4x

2

+x(a+4)+b

−4x

2

−3x+2

_______________

x(9+4+3)+b−2

x(9+4+3)+(b−2)=0 (for exactly divisible)

9+4+3=0, b−2=0

a=−7

b=2.

Step-by-step explanation:

sorry if this is wrong