What is the expression in factored form? x2 + 13x + 42

Question

What is the expression in factored form?  x2 + 13x + 42

hartnn · Answer

@Zebralover96  Hi,
$\Huge \mathcal{\text{Welcome To OpenStudy}\ddot\smile} $

Do you know the method of factorization ?

anonymous · Answer

just split 13x into two terms such that sum is 13 and product is 42 and then take common

hartnn · Answer

for factorizing the standard quadratic expression,$ ax^2+bx+c$, we need 2 numbers whose sum is 'b' and product = ac
for your Question, 
can you find 2 numbers whose sum = 13  and product = 42 ?

anonymous · Answer

Assuming this is$$x ^{2}+13x+42$$

anonymous · Answer

Ok, looking at the last term. you need to find out what numbers multiplied by each other are equal to 42. can you find them?

anonymous · Answer

Crud, you're offline.
let me post a walk through for you before this gets buried.

6x7=42
so now we have
(x+6) (x+7)

now, lets see here. x times by x is $$x ^{2} $$
x times by 7 is 7x and 6 times by x is 6x. 6x+7x=13x
and finally 6 times by 7 is 42.
so you can see this is equal to $$x ^{2}+13x+42$$