# How do you multiply (2x+1)(x+5)?

Mar 3, 2018

$2 {x}^{2} + 11 x + 5$

#### Explanation:

Given -

$\left(2 x + 1\right) \left(x + 5\right)$

$\left(2 x \times x\right) + \left(1 \times x\right) + \left(2 x \times 5\right) + \left(1 \times 5\right)$
$2 {x}^{2} + x + 10 x + 5$
$2 {x}^{2} + 11 x + 5$

Mar 3, 2018

$2 {x}^{2} + 11 x + 5$

#### Explanation:

To multiply the polynomials, multiply 2x by x and 5 and do the same to 1
$\left(2 x + 1\right) \left(x + 5\right)$
$2 {x}^{2} + 10 x + x + 5$

Then, combine like terms
$2 {x}^{2} + 11 x + 5$