Math Problem Statement
Rewrite the following polynomial in standard form. x, minus, 3, plus, 10, x, cubed, minus, start fraction, x, to the power 5 , divided by, 9, end fraction x−3+10x 3 − 9 x 5
Solution
Let's rewrite the given polynomial in standard form. The standard form of a polynomial lists terms in descending powers of .
Given polynomial:
To express it in standard form, arrange the terms by powers of , from the highest power to the lowest:
The standard form of the polynomial is:
Would you like more details on how to interpret or manipulate polynomials? Here are some related questions you might find interesting:
- How do you identify the degree of a polynomial?
- What are the different types of polynomials based on their degrees?
- How do you add or subtract polynomials in standard form?
- What is the concept of a leading term in a polynomial?
- How do you perform synthetic division on polynomials?
Tip: To easily combine polynomials, always ensure like terms (same powers of ) are grouped together.
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Math Problem Analysis
Mathematical Concepts
Polynomials
Standard Form of Polynomials
Algebra
Formulas
Standard form of a polynomial: Terms arranged by descending powers of x
Theorems
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Suitable Grade Level
Grades 8-10