Find two integers c such that the trinomial $x ^ { 2 } + 8 x + c$ can be factored. (There are many correct answers.)
A) $64,64$
B) -48,12
C) 64,12
D) 48,-12
E) 48,12

Question

Quizplus · Accepted Answer

The trinomial can be factored if the discriminant $b^2 - 4ac$ is a perfect square. For $x^2 + 8x + c$, $b = 8$, so $64 - 4c$ must be a perfect square. For $c = -48$ or $c = 12$, $64 - 4(-48) = 256$ and $64 - 4(12) = 16$ are perfect squares.

Find Two Integers C Such That the Trinomial x2+8x+cx ^ { 2 } + 8 x + cx2+8x+c

Find Two Integers C Such That the Trinomial $x ^ { 2 } + 8 x + c$