# How do you factor #3x^2+36x+105#?

##### 2 Answers

May 18, 2018

#### Answer:

#### Explanation:

#"take out a "color(blue)"common factor "3#

#=3(x^2+12x+35)#

#"to factor the quadratic"#

#"the factors of + 35 which sum to + 12 are + 5 and + 7"#

#=3(x+5)(x+7)#

May 18, 2018

#### Answer:

#### Explanation:

A quadratic polynomial can be factored if it has zeroes: you can write

if

So,

Thus,