What is the standard form of a polynomial #(4a^2 + 9a − 5) + (6a^2 − 5)#?

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Answer 1 · 2017-07-01T21:57:59

See a solution process below:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

#4a^2 + 9a - 5 + 6a^2 - 5#

Next, group like terms in descending order of the exponent::

#4a^2 + 6a^2 + 9a - 5 - 5#

Now, combine like terms:

#(4 + 6)a^2 + 9a + (-5 - 5)#

#10a^2 + 9a + (-10)#

#10a^2 + 9a - 10#