What is the standard form of a polynomial #(8x-7)(3x+2)#?

1 Answer
smendyka
Aug 26, 2017

See a solution process below:

Explanation:

We can multiply these two terms by multiplying each individual term in the left parenthesis by each individual term in the right parenthesis to make this expression in standard form.

#(color(red)(8x) - color(red)(7))(color(blue)(3x) + color(blue)(2))# becomes:

#(color(red)(8x) xx color(blue)(3x)) + (color(red)(8x) xx color(blue)(2)) - (color(red)(7) xx color(blue)(3x)) - (color(red)(7) xx color(blue)(2))#

#24x^2 + 16x - 21x - 14#

We can now combine like terms:

#24x^2 + (16 - 21)x - 14#

#24x^2 + (-5)x - 14#

#24x^2 - 5x - 14#

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