Advertisements
Advertisements
Question
Find the greatest common factor (GCF/HCF) of the following polynomial:
4a2b3, −12a3b, 18a4b3
Advertisements
Solution
The numerical coefficients of the given monomials are 4, -12 and 18. The greatest common factor of 4, -12 and 18 is 2.
The common literals appearing in the three monomials are a and b.
The smallest power of a in the three monomials is 2.
The smallest power of b in the three monomials is 1.
The monomial of the common literals with the smallest powers is a2b.
Hence, the greatest common factor is 2a2b.
RELATED QUESTIONS
Factorise the expression and divide them as directed.
(m2 − 14m − 32) ÷ (m + 2)
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)
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:
2x2 and 12x2
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:
a2b3, a3b2
Find the greatest common factor (GCF/HCF) of the following polynomial:
2x3y2, 10x2y3, 14xy
Divide: 16 + 8x + x6 − 8x3 − 2x4 + x2 by x + 4 − x3
The area of a rectangle is x3 – 8x + 7 and one of its sides is x – 1. Find the length of the adjacent side.
