# How do you factor the expression 2x^2+7x+1 ?

Mar 30, 2018

the answer is $\frac{- 7 \sqrt{41}}{4}$

#### Explanation:

you can't take out so you have to use the quadratic formula. formula:$\frac{- b \sqrt{{b}^{2} - 4 a c}}{2 a}$ so plug it in wiht the numbers: $- 7 \frac{\sqrt{{\left(7\right)}^{2} - 4 \left(2\right) \left(1\right)}}{2 \left(2\right)}$ now solve so you'll get:$- 7 \frac{\sqrt{49 - 8}}{4}$ now you can simplify $41$ anymore so you leave it inside. and there you go. $41$ comes from $49 - 8$

Mar 30, 2018

check below

#### Explanation:

$2 {x}^{2}$ + $7 x$ + 1
Since you can not use middle-term techniques over here.. So u can use the formula of discriminant:

The equation is :

$a {x}^{2}$+$b x$+c
Here a,b,c are the coefficients of ${x}^{2}$ , $x$ and the constant respectively,,,