-.8(x + 1.085)(x - 6.335) in standard form

Given:

-.8(x + 1.085)(x - 6.335)

Determine its standard form.

Solution:

In order to determine the value of the given in standard form, we simply need to apply the FOIL Method. Multiply the first term of the first equation, to the first and last term of the second equation. Then, multiply the last term of the first equation, to the first and last term of the second equation.

To clearly see how it works, here's a step by step solution.

= (x)(x)
=x^2
First term of the first equation multiplied to the first term of the second equation.

=(x)(-6.335)
= -6.335x
First term of the first equation multiplied to the last term of the second equation.

=(1.085)(x)
= 1.085x
Last term of the first equation multiplied to the first term of the second equation.

=(-6.335)(1.085)
= -6.87
Last term of the first equation multiplied to the fast term of the second equation.

= -.8(x^2 - 6.335x + 1.085x - 6.87

= -.8(x^2 - 5.25x - 6.87) 

= - .8x^2 + 4.2x + 5.5

Final answer:

= - .8x^2 + 4.2x + 5.5