Advertisements
Advertisements
Question
Find the greatest common factor (GCF/HCF) of the following polynomial:
a2b3, a3b2
Advertisements
Solution
The common literals appearing in the three monomials are a and b.
The smallest power of x in the two monomials is 2.
The smallest power of y in the two monomials is 2.
The monomial of common literals with the smallest powers is a2b2.
Hence, the greatest common factor is a2b2.
APPEARS IN
RELATED QUESTIONS
Work out the following division:
(10x − 25) ÷ (2x − 5)
Find the greatest common factor (GCF/HCF) of the following polynomial:
6x3y and 18x2y3
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:
6x2y2, 9xy3, 3x3y2
Find the greatest common factor (GCF/HCF) of the following polynomial:
x3, − yx2
Find the greatest common factor (GCF/HCF) of the following polynomial:
2x3y2, 10x2y3, 14xy
Divide: 12x2 + 7xy − 12y2 by 3x + 4y
Divide: x6 − 8 by x2 − 2
Divide: 16 + 8x + x6 − 8x3 − 2x4 + x2 by x + 4 − x3
Find the quotient and the remainder when :
a3 − 5a2 + 8a + 15 is divided by a + 1. verify your answer.
