# What is the standard form of a polynomial (x+3)(x+4)(x+5) ?

Dec 13, 2017

${x}^{3} + 12 {x}^{2} + 47 x + 60$

#### Explanation:

The polynomial you posted is called a cubic function. The standard form for this function is:
${a}^{3} + b {x}^{2} + c x + d$ where $a \setminus \ne 0$

Therefore you can just expand the polynomial expression you posted like this:

$\left(x + 3\right) \left(x + 4\right) \left(x + 5\right)$

$= \left(x + 3\right) \left({x}^{2} + 9 x + 20\right)$

$= {x}^{3} + 12 {x}^{2} + 47 x + 60$