Simplify the expression: 8x^3 - 10x^2 + 28x - 35
Understand the Problem
The question is asking to simplify the polynomial expression. We will combine like terms, taking into account their coefficients and exponents.
Answer
$8x^3 - 10x^2 + 28x - 35$
Answer for screen readers
$8x^3 - 10x^2 + 28x - 35$
Steps to Solve
- Check for like terms
Like terms have the same variable raised to the same power. In the expression $8x^3 - 10x^2 + 28x - 35$, we have the terms $8x^3$, $-10x^2$, $28x$, and $-35$. None of these terms have the same variable raised to the same power, so there are no like terms to combine.
- Write the simplified expression
Since there are no like terms to combine, the expression is already in its simplest form.
$8x^3 - 10x^2 + 28x - 35$
More Information
The polynomial is already in its simplest form as there are no like terms that can be combined.
Tips
A common mistake is attempting to combine terms that are not like terms. For example, trying to add the coefficients of $x^3$ and $x^2$ terms. Only terms with the same variable and exponent can be combined.
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