What is the standard form of a polynomial #(3x+4)(5x-9)#?

1 Answer
smendyka
Aug 2, 2017

See a solution process below:

Explanation:

To write this polynomial in standard form we must multiply these two terms by multiplying each individual term in the left parenthesis by each individual term in the right parenthesis.

#(color(red)(3x) + color(red)(4))(color(blue)(5x) - color(blue)(9))# becomes:

#(color(red)(3x) xx color(blue)(5x)) - (color(red)(3x) xx color(blue)(9)) + (color(red)(4) xx color(blue)(5x)) - (color(red)(4) xx color(blue)(9))#

#15x^2 - 27x + 20x + 36#

We can now combine like terms:

#15x^2 + (-27 + 20)x + 36#

#15x^2 + (-7)x + 36#

#15x^2 - 7x + 36#

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