Advertisements
Advertisements
Question
Find the greatest common factor (GCF/HCF) of the following polynomial:
14x3y5, 10x5y3, 2x2y2
Advertisements
Solution
The numerical coefficients of the given monomials are 14, 10 and 2. The greatest common factor of 14, 10 and 2 is 2.
The common literals appearing in the three monomials are x and y.
The smallest power of x in the three monomials is 2.
The smallest power of y in the three monomials is 2.
The monomial of common literals with the smallest powers is x2y2.
Hence, the greatest common factor is 2x2y2.
RELATED QUESTIONS
Divide as directed.
26xy(x + 5) (y − 4) ÷ 13x(y − 4)
Divide as directed.
52pqr (p + q) (q + r) (r + p) ÷ 104pq (q + r) (r + p)
Divide as directed.
20(y + 4) (y2 + 5y + 3) ÷ 5(y + 4)
Find the greatest common factor (GCF/HCF) of the following polynomial:
2x2 and 12x2
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:
9x2, 15x2y3, 6xy2 and 21x2y2
Find the greatest common factor (GCF/HCF) of the following polynomial:
2x3y2, 10x2y3, 14xy
Divide: 4a2 + 12ab + 9b2 − 25c2 by 2a + 3b + 5c
Find the quotient and the remainder when 3x4 + 6x3 − 6x2 + 2x − 7 is divided by x − 3. in case, verify your answer.
