A polynomial is shown below. 3x² − x² + y − 2y + y² Which of the following shows the polynomial in simplified form?
A. 2 x²
B. y² − y + 3
C. 2x² − y + y²
D y(to the 3 power) + 2x² − 2y
the answer is c.
To simplify the given polynomial, we can combine like terms.
The polynomial is: 3x² − x² + y − 2y + y²
Combining the like terms, we have: (3x² - x²) + (y - 2y) + y²
Simplifying further, we get: 2x² - y + y²
Therefore, the polynomial in simplified form is represented by option C: 2x² - y + y².
To simplify the given polynomial, we need to combine like terms. Like terms are terms that have the same variables raised to the same powers.
Let's identify the like terms:
3x² and -x² are like terms since they both have the variable x raised to the power ².
y and -2y are like terms since they both have the variable y raised to the power 1.
y² is a term with the variable y raised to the power ².
Now, let's combine the like terms:
3x² - x² = 2x²
y - 2y = -y
So, our simplified polynomial becomes:
2x² - y + y²
Therefore, the answer is option C. 2x² - y + y².