# What is the value of the coefficients when the quadratic equation y = (5x − 2)(2x + 3) is written in standard form?

Jun 5, 2017

$a = 10 , b = 11 , c = - 6$

#### Explanation:

$\text{the standard form of the quadratic is } y = a {x}^{2} + b x + c$

$\text{expand the factors using FOIL}$

$\Rightarrow \left(5 x - 2\right) \left(2 x + 3\right)$

$= 10 {x}^{2} + 11 x - 6 \leftarrow \textcolor{red}{\text{ in standard form}}$

$\Rightarrow a = 10 , b = 11 \text{ and } c = - 6$