How do you factor completely: #14bx^2 − 7x^3 − 4b + 2x#?

1 Answer
Aug 19, 2015

Answer:

# color(green)((2b-x)(7x^2-2)#

Explanation:

#14bx^2-7x^3-4b+2x#

We can factor this expression by making groups of two terms:
#(14bx^2-7x^3) +(-4b+2x)#

#7x^2# is common to both the terms in the first group, and #-2# is common to both the terms in the second group

# = 7x^2(2b-x) -2(2b-x)#
#2b-x# is common to both the terms now:

# color(green)((2b-x)(7x^2-2)# is the factorised form