Advertisements
Advertisements
Question
Find the greatest common factor (GCF/HCF) of the following polynomial:
6x2y2, 9xy3, 3x3y2
Advertisements
Solution
The numerical coefficients of the given monomials are 6, 9 and 3. The greatest common factor of 6, 9 and 3 is 3.
The common literals appearing in the three monomials are x and y.
The smallest power of x in the three monomials is 1.
The smallest power of y in the three monomials is 2.
The monomial of common literals with the smallest powers is xy2.
Hence, the greatest common factor is 3xy2.
RELATED QUESTIONS
Work out the following division:
9x2y2(3z − 24) ÷ 27xy(z − 8)
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:
12ax2, 6a2x3 and 2a3x5
Find the greatest common factor (GCF/HCF) of the following polynomial:
4a2b3, −12a3b, 18a4b3
Find the greatest common factor (GCF/HCF) of the following polynomial:
15a3, − 45a2, − 150a
Divide: x2 + 3x − 54 by x − 6
Divide: x6 − 8 by x2 − 2
Find the quotient and the remainder when 3x4 + 6x3 − 6x2 + 2x − 7 is divided by x − 3. in case, verify your answer.
The product of two numbers-is 16x4 – 1. If one number is 2x – 1, find the other.
