1 answer

How do you factor #m^2 + 3m - 40#?

Question:

How do you factor #m^2 + 3m - 40#?

Answers

See a solution process below:

Explanation:

Because the #m^2# coefficient is #1# we know the coefficient for the #x# terms in the factor will also be #1#:

#(m )(m )#

Because the constant is a negative and the coefficient for the #x# term is a negative we know the sign for the constants in the factors will ne negative for one and positive for the other because a negative plus a great positive will be positive and negative times a positive is a negative:

#(m + )(m - )#

Now we need to determine the factors which multiply to 35 and also subtracted equal +3:

#1 xx 40 = 40#; #40 - 1 = 39 # <- this is not the factor

#2 xx 20 = 40#; #20 - 2 = 18 # <- this is not the factor

#4 xx 10 = 40#; #10 - 4 = 6 # <- this is not the factor

#5 xx 8 = 40#; #8 - 5 = 12 # <- this IS the factor

#(m + 8)(m - 5)#

.

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