Write polynomial y^2-2y^4 3y-y^3 in standard form?
Polynomial in Standard Form:
To write the polynomial y^2 - 2y^4 + 3y - y^3 in standard form, we need to arrange the terms in descending order of their degree.
Step 1: Arrange the terms in descending order of their degree:
The given polynomial is:
y^2 - 2y^4 + 3y - y^3
Arranging the terms in descending order of their degree:
-2y^4 - y^3 + y^2 + 3y
Step 2: Combine like terms:
Like terms have the same variable raised to the same power. In this polynomial, there are no like terms, so we can skip this step.
Step 3: Write the polynomial in standard form:
In standard form, the polynomial should have the term with the highest degree first, followed by the terms in descending order of their degree.
The polynomial -2y^4 - y^3 + y^2 + 3y is already arranged in descending order of degree, so it is already in standard form.
Final Answer:
The polynomial y^2 - 2y^4 + 3y - y^3 in standard form is -2y^4 - y^3 + y^2 + 3y.
Explanation:
The standard form of a polynomial arranges the terms in descending order of their degree. By ordering the terms correctly, we can easily identify the term with the highest degree, which is useful for several mathematical operations and calculations.
In this case, we followed the three steps to write the given polynomial in standard form. First, we rearranged the terms in descending order of their degree. Then, we checked if there were any like terms to combine, but there were none. Finally, we confirmed that the polynomial is already in standard form.
By presenting the steps and the final answer, we have provided a detailed explanation of how to write the polynomial y^2 - 2y^4 + 3y - y^3 in standard form.
Write polynomial y^2-2y^4 3y-y^3 in standard form?
The answer is
-2y^4-y^3+y^2+3y
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.