How do you factor the polynomials #5br-25b+2r-10#?

1 Answer
George C.
Feb 2, 2017

#5br-25b+2r-10 = (5b+2)(r-5)#

Explanation:

Note that the ratio of the first and second terms is the same as that between the third and fourth terms. So this quadrinomial will factor by grouping:

#5br-25b+2r-10 = (5br-25b)+(2r-10)#

#color(white)(5br-25b+2r-10) = 5b(r-5)+2(r-5)#

#color(white)(5br-25b+2r-10) = (5b+2)(r-5)#

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