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

Jun 2, 2018

$\left(x + 1\right) \left(x + 12\right)$

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 $1$:

$\left(x\right) \left(x\right)$

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:

$\left(x +\right) \left(x +\right)$

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

$1 \times 12 = 12$; $1 + 12 = 13$ <- this IS the factor

$\left(x + 1\right) \left(x + 12\right)$