How do you factor by grouping #10x^3+20x^2+x+2#?

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Answer 1 · 2015-04-11T09:47:52

We can factorise the following expression by making groups of 2

#(10x^3+20x^2)+(x+2)#

In the first group, #10x^2# is common to both the terms, and in the second, #1 # is the only factor common to both the terms.

So we write the expression as

#(10x^2)(x+2)+1*(x+2)#

#= color(green)((x+2)(10x^2+1)#

As #10x^2 + 1# cannot be factorised further, the above will be the factorised form of the expression #10x^3+20x^2+x+2#