Advertisements
Advertisements
प्रश्न
Find the greatest common factor (GCF/HCF) of the following polynomial:
6x3y and 18x2y3
उत्तर
The numerical coefficients of the given monomials are 6 and 18. The greatest common factor of 6 and 18 is 6.
The common literals appearing in the two monomials are x and y.
The smallest power of x in the two monomials is 2.
The smallest power of y in the two monomials is 1.
The monomial of the common literals with the smallest powers is x2y.
Hence, the greatest common factor is 6x2y.
APPEARS IN
संबंधित प्रश्न
Work out the following division:
96abc(3a − 12)(5b − 30) ÷ 144(a − 4) (b − 6)
Divide as directed.
26xy(x + 5) (y − 4) ÷ 13x(y − 4)
Factorise the expression and divide them as directed.
(5p2 − 25p + 20) ÷ (p − 1)
Factorise the expression and divide them as directed.
4yz(z2 + 6z − 16) ÷ 2y(z + 8)
Find the greatest common factor (GCF/HCF) of the following polynomial:
42x2yz and 63x3y2z3
Find the greatest common factor (GCF/HCF) of the following polynomial:
15a3, − 45a2, − 150a
Divide: 12x2 + 7xy − 12y2 by 3x + 4y
Find the quotient and the remainder when :
a3 − 5a2 + 8a + 15 is divided by a + 1. verify your answer.
Find the quotient and the remainder when :
3x4 + 6x3 − 6x2 + 2x − 7 is divided by x − 3. verify your answer.
Divide x6 – y6 by the product of x2 + xy + y2 and x – y.