Question

4. The product of two numbers is 16x4-1. If one
number is 2x – 1, find the other by dividing ​

Answer 1

Answer:

Product of two numbers = 16x4 − 1

One number = 2x − 1

Then the second number =

16

x

4

−

1

2

x

−

1

16x4-12x-1

= 8x3 + 4x2 + 2x + 1

2

x

−

1

)

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

16

x

4

−

1

(

8

x

3

+

4

x

2

+

2

x

+

1

2x-1)16x4 -1¯(8x3+4x2+2x+1

16x4 − 8x3

− +

8x3

8x3 − 4x2

− +

4x2

4x2 − 2x

− +

2x − 1

2x − 1

− +

×

∴ Other side = 8x3 + 4x2 + 2x + 1