For 2 and 3 simplify each polynomial
2. 4x^2+4-5x+x-2x^2+8
4 x² + 4 - 5 x + x - 2 x² + 8 =
4 x² - 2 x² - 5 x + x + 4 + 8 =
2 x² - 4 x + 12 =
2 ( x² - 2 x + 6 )
Well, well, well! Looks like we've got ourselves a good ol' polynomial to simplify. Let's dig in, shall we?
First things first, let's combine the like terms. We have 4x^2 and -2x^2, which gives us a total of 2x^2.
Next, we have 4 + 8, which gives us 12.
Now, let's work on the x terms. We have -5x + x, which gives us -4x.
So, putting it all together, we get 2x^2 - 4x + 12.
Voila! Our simplified polynomial. Keep up the good work, you polynomial mastermind, you!
To simplify the polynomial 4x^2 + 4 - 5x + x - 2x^2 + 8, we can combine like terms.
First, let's combine the terms with x^2:
4x^2 - 2x^2 = 2x^2
Next, let's combine the terms without variables:
4 + 8 = 12
Finally, let's combine the terms with x:
-5x + x = -4x
Putting it all together, the simplified polynomial is:
2x^2 - 4x + 12
To simplify the given polynomial, we combine like terms. Like terms are terms that have the same variables raised to the same powers.
Step 1: Group the like terms together.
The given polynomial can be rearranged as follows:
(4x^2 - 2x^2) + (4x - 5x) + (4 + 8)
Step 2: Combine the like terms within each group.
4x^2 - 2x^2 can be simplified to 2x^2 (subtract the coefficients)
4x - 5x can be simplified to -x (subtract the coefficients)
4 + 8 can be simplified to 12 (add the coefficients)
Step 3: Rewrite the simplified polynomial.
The simplified polynomial is 2x^2 - x + 12.
So, the simplified form of the polynomial 4x^2 + 4 - 5x + x - 2x^2 + 8 is 2x^2 - x + 12.