What is the standard form of a polynomial $(2x^2 + 5x + 4) - (4x^2 - 3x + 2)$ ?

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Answer 1 · 2017-11-07T13:03:00

See a solution process below:

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

$2x^2 + 5x + 4 - 4x^2 + 3x - 2$

Next, group like terms in descending order of the power of the exponents:

$2x^2 - 4x^2 + 5x + 3x + 4 - 2$

Now, combine like terms:

$(2 - 4)x^2 + (5 + 3)x + (4 - 2)$

$-2x^2 + 8x + 2$

What is the standard form of a polynomial (2x^2 + 5x + 4) - (4x^2 - 3x + 2)(2x^2 + 5x + 4) - (4x^2 - 3x + 2)?