Advertisements
Advertisements
Question
Find the greatest common factor (GCF/HCF) of the following polynomial:
15a3, − 45a2, − 150a
Solution
The numerical coefficients of the given monomials are 15, -45 and -150. The greatest common factor of 15, -45 and -150 is 15.
The common literal appearing in the three monomials is a.
The smallest power of a in the three monomials is 1.
Hence, the greatest common factor is 15a.
APPEARS IN
RELATED QUESTIONS
Work out the following division:
96abc(3a − 12)(5b − 30) ÷ 144(a − 4) (b − 6)
Divide as directed.
5(2x + 1) (3x + 5) ÷ (2x + 1)
Divide as directed.
26xy(x + 5) (y − 4) ÷ 13x(y − 4)
Divide as directed.
20(y + 4) (y2 + 5y + 3) ÷ 5(y + 4)
Factorise the expression and divide them as directed.
4yz(z2 + 6z − 16) ÷ 2y(z + 8)
Factorise the expression and divide them as directed.
5pq(p2 − q2) ÷ 2p(p + q)
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:
14x3y5, 10x5y3, 2x2y2
Divide: x6 − 8 by x2 − 2
Find the quotient and the remainder when :
3x4 + 6x3 − 6x2 + 2x − 7 is divided by x − 3. verify your answer.
