A function is a relation that assigns exactly one output for each input. For example, the relation defined by the equation $$y = 2x + 3$$ is a function.

What is the result of multiplying $$-3x^2(7x^2 - x + 4)$$ ?

The result is $$-21x^4 + 3x^3 - 12x^2$$ .

What does it mean for a relation to be a function?

A relation is a function if each input (x-value) corresponds to exactly one output (y-value). If any input corresponds to more than one output, it is not a function.

What is the degree of a polynomial?

The degree of a polynomial is the highest power of the variable in the expression. For example, in the polynomial $$2x^3 - 4x^2 + 5$$ , the degree is 3.

What is a linear equation?

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form $$y = mx + b$$ , where m is the slope and b is the y-intercept.

What is the difference between a term and a polynomial?

A term is a single mathematical expression that can be a number, variable, or the product of numbers and variables. A polynomial is a sum of one or more terms.

How do you determine if a table represents a function?

To determine if a table represents a function, check if any x-value is repeated. If an x-value corresponds to more than one y-value, it is not a function.

What is the zero product property?

The zero product property states that if the product of two factors is zero, then at least one of the factors must be zero. For example, if $$x(x - 3) = 0$$ , then $$x = 0$$ or $$x - 3 = 0$$ .

What is the process of factoring a polynomial?

Factoring a polynomial involves expressing it as a product of its factors. This can include finding common factors, using the difference of squares, or applying the quadratic formula.

What is the importance of understanding word problems in mathematics?

Understanding word problems is crucial as they apply mathematical concepts to real-world situations, helping students develop problem-solving skills and critical thinking.

Word Problems and Polynomial Operations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

2.

FLASHCARD QUESTION

Front

How do you evaluate a polynomial at a given value?

Back

Tags

CCSS.HSF.IF.A.2

3.

FLASHCARD QUESTION

Front

What is the difference between rational and irrational numbers?

Back

Tags

CCSS.HSN.RN.B.3

4.

FLASHCARD QUESTION

Front

What is a function?

Back

Tags

CCSS.8.F.A.1

5.

FLASHCARD QUESTION

Front

What is the significance of a system of inequalities?

Back

A system of inequalities consists of two or more inequalities that are considered simultaneously. The solution is the set of all points that satisfy all inequalities.

Tags

CCSS.HSA.REI.D.12

6.

FLASHCARD QUESTION

Front

How do you multiply polynomials?

Back

To multiply polynomials, use the distributive property (also known as the FOIL method for binomials) to multiply each term in the first polynomial by each term in the second polynomial.

Tags

CCSS.HSA.APR.A.1

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.A.1

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