What is the standard form of a polynomial $(x^2 + x + 2) + (3x^2 - 2x + 10)$ ?

Question

1992 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-11-14T17:52:28

See a solution process below:

First, remove all of the terms from parenthesis:

$x^2 + x + 2 + 3x^2 - 2x + 10$

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

$x^2 + 3x^2 + x - 2x+ 2 + 10$

Now, combine like terms:

$1x^2 + 3x^2 + 1x - 2x + 2 + 10$

$(1 + 3)x^2 + (1 - 2)x + (2 + 10)$

$4x^2 + (-1)x + 12$

$4x^2 - 1x + 12$

What is the standard form of a polynomial (x^2 + x + 2) + (3x^2 - 2x + 10)(x^2 + x + 2) + (3x^2 - 2x + 10)?