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Questions and Answers
What is the result of simplifying the expression $(-4m²n)⁴ \div 6m^{-10}$?
What is the result of simplifying the expression $(-4m²n)⁴ \div 6m^{-10}$?
The result is $\frac{256m^{8}n^{4}}{6}$ or $\frac{128m^{8}n^{4}}{3}$ in standard form.
Combine and simplify the expression $(8a² − 6 − 8a) + (1 − 6a − 7a²)$ in standard form.
Combine and simplify the expression $(8a² − 6 − 8a) + (1 − 6a − 7a²)$ in standard form.
The simplified expression is $-a² - 14a - 5$.
What does the expression $(y+4)³ - 2y(y−1)$ simplify to?
What does the expression $(y+4)³ - 2y(y−1)$ simplify to?
The simplified expression is $y³ + 10y² + 50y + 64$.
Factor the polynomial $3n² − 147$ completely.
Factor the polynomial $3n² − 147$ completely.
Expand the expression $(3k − 6)(k² − k + 7)$ and write it in standard form.
Expand the expression $(3k − 6)(k² − k + 7)$ and write it in standard form.
Flashcards
Quadratic Polynomial
Quadratic Polynomial
A polynomial where the highest power of the variable is 2. It can be written in the form ax² + bx + c, where a, b, and c are constants.
Trinomial
Trinomial
A polynomial with three terms.
Factoring
Factoring
The process of rewriting an algebraic expression into a product of its factors.
Difference of Squares
Difference of Squares
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Sum of Cubes
Sum of Cubes
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Study Notes
Polynomial Functions Study Guide
- Simplify expressions: Examples of simplifying polynomial expressions are shown.
- Polynomial operations: Combine and simplify polynomials according to the rules of polynomial arithmetic.
- Classifying polynomials: Identify expressions as polynomials and classify them by degree.
- Factoring polynomials: Factor out the common factors to simply an expression.
- Sum of Cubes: The formula for the sum of cubes is a³+b³=(a+b)(a²-ab+b²).
- Differences of Cubes: The formula for the differences of cubes is a³-b³=(a-b)(a²+ab+b²).
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