Question
Write the polynomial in standard form then name the polynomal based on its degree and number of terms 2-11x²-8x + 6x²
Answer:
Standard form: -5x²- 8x + 2
name: Quadratic polynomial
Explanation:
Given polynomial
2-11x²-8x + 6x²
To write this polynomial in standard form,
i. First simplify it
Collect like terms
2 - 11x² + 6x² - 8x
Add the second and fourth terms
2 - 5x² - 8x
ii. Arrange the terms in the polynomial in order of decreasing order of x.
In other words, the term which has the highest order of x is written first followed by the term with the next highest order of x and so on.
In this case, the term with the highest order of x is the second term which is given by -5x² followed by -8x and then 2.
Therefore, the standard form of the given polynomial is
-5x²- 8x + 2
The degree of a polynomial which is in standard form is the order of its first term.
In this case, the order of the first term is 2. This means that the degree of the polynomial is 2.
Since the degree of the polynomial is 2 and it has three terms, this is a quadratic polynomial.