How do you write #x^2+13x+12# in factored form?

2 Answers
Evan
Jun 2, 2018

#(x+1)(x+12)#

smendyka
Jun 2, 2018

See a solution process below:

Explanation:

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

#(x )(x )#

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

#(x + )(x + )#

Now we need to determine the factors which multiply to 12 and also add to 13:

#1 xx 12 = 12#; #1 + 12 = 13 # <- this IS the factor

#(x + 1)(x + 12)#

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