Find every integer $k$ for which $$x^2+kx+12$$ can be written as $$(x+m)(x+n),$$ where \(m,n\

Question

Find every integer $k$ for which $$x^2+kx+12$$ can be written as $$(x+m)(x+n),$$ where $m,n$ are positive integers. For each value of $k$, give the factorisation. Explain why your list is complete.

Accepted Answer

$k=7,8,13$, from factor pairs $(3,4),(2,6),(1,12)$.

Algebraic Expressions, Identities and Formulae

Algebraic Expressions, Identities and Formulae

Solution:

Solution locked