How do you factor #4b^{2}+b+5#?

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Answer 1 · 2016-10-26T07:28:55

#4b^2 +b+5# cannot be factored.

#4b^2 +b-5# can be factored as #(4b +5)(b-1)#

There are no rational factors for this expression.
It is not possible to have factors of #4 and 5# which ADD to +1.

However, if the expression is #4b^2 +b - 5# ,

this can factor because factors of #4 and 5# can subtract to make 1.

#(4b +5)(b-1)#

Check the product:

=#4b^2 -4b +5b -5#
=#4b^2+b-5#