# Question #7c4ba

Jun 5, 2017

A. $x - 5$

#### Explanation:

${x}^{2} - 12 x + 35$

we use by checking one by one of the answer/binomial given and equalize to zero then plug in to the trinomial. If we got the value is zero, than it is a correct answer

A. $x - 5 = 0 , x = 5$
$\to {\left(5\right)}^{2} - 12 \left(5\right) + 35 = 25 - 60 + 35 = 0$, therefore
A. $x - 5$ is a correct answer.

B. $x + 5 = 0 , x = - 5$
$\to {\left(- 5\right)}^{2} - 12 \left(- 5\right) + 35 = 25 + 60 + 35 \ne 0$, therefore
B. $x + 5$ is not a correct answer.

C. ${x}^{2} + 12 = 0 , {x}^{2} = - 12 \to$ unableto solved, therefore
C. ${x}^{2} + 12$ is not a correct answer.

D. $x + 70 = 0 , x = - 70$
$\to {\left(70\right)}^{2} - 12 \left(70\right) + 35 = 4900 - 840 + 35 \ne 0$, therefore
D. $x + 70$ is not a correct answer