Advertisements
Advertisements
प्रश्न
Find the greatest common factor (GCF/HCF) of the following polynomial:
2x3y2, 10x2y3, 14xy
Advertisements
उत्तर
The numerical coefficients of the given monomials are 2, 10 and 14. The greatest common factor of 2, 10 and 14 is 2.
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 1.
The monomial of common literals with the smallest powers is xy.
Hence, the greatest common factor is 2xy.
APPEARS IN
संबंधित प्रश्न
Work out the following division:
(10x − 25) ÷ 5
Divide as directed.
5(2x + 1) (3x + 5) ÷ (2x + 1)
Divide as directed.
x(x + 1) (x + 2) (x + 3) ÷ x(x + 1)
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:
6x2y2, 9xy3, 3x3y2
Find the greatest common factor (GCF/HCF) of the following polynomial:
15a3, − 45a2, − 150a
Divide: x2 + 3x − 54 by x − 6
Divide: 6x3 − 13x2 − 13x + 30 by 2x2 − x − 6
Divide: 4a2 + 12ab + 9b2 − 25c2 by 2a + 3b + 5c
Divide: 16 + 8x + x6 − 8x3 − 2x4 + x2 by x + 4 − x3
