Advertisements
Advertisements
Question
The product of two numbers-is 16x4 – 1. If one number is 2x – 1, find the other.
Advertisements
Solution
Product of two numbers = 16x4 − 1
One number = 2x − 1
Then the second number =`(16"x"^4-1)/(2"x"-1)`
= 8x3 + 4x2 + 2x + 1
`2"x"-1)overline(16"x"^4 -1)(8"x"^3+4"x"^2+2"x"+1`
16x4 − 8x3
− +
8x3
8x3 − 4x2
− +
4x2
4x2 − 2x
− +
2x − 1
2x − 1
− +
×
∴ Other side = 8x3 + 4x2 + 2x + 1
APPEARS IN
RELATED QUESTIONS
Work out the following division:
(10x − 25) ÷ (2x − 5)
Work out the following division:
96abc(3a − 12)(5b − 30) ÷ 144(a − 4) (b − 6)
Divide as directed.
x(x + 1) (x + 2) (x + 3) ÷ x(x + 1)
Factorise the expression and divide them as directed.
(y2 + 7y + 10) ÷ (y + 5)
Find the greatest common factor (GCF/HCF) of the following polynomial:
7x, 21x2 and 14xy2
Find the greatest common factor (GCF/HCF) of the following polynomial:
12ax2, 6a2x3 and 2a3x5
Find the greatest common factor (GCF/HCF) of the following polynomial:
2x3y2, 10x2y3, 14xy
Divide: a2 + 7a + 12 by a + 4
The area of a rectangle is x3 – 8x + 7 and one of its sides is x – 1. Find the length of the adjacent side.
