What are like terms in polynomials?

Like terms are terms that have the same variable raised to the same power. For example, $$3x^2$$ and $$5x^2$$ are like terms, while $$3x^2$$ and $$4x$$ are not.

What is the difference between a monomial and a polynomial?

A monomial is a polynomial with only one term, such as $$3x^2$$ . A polynomial can have multiple terms, such as $$2x^2 + 3x - 5$$ .

How do you factor a polynomial?

To factor a polynomial, find the greatest common factor (GCF) and use it to rewrite the polynomial as a product of simpler polynomials. For example, $$6x^2 + 9x = 3x(2x + 3)$$ .

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 $$(x - 3)(x + 2) = 0$$ , then either $$x - 3 = 0$$ or $$x + 2 = 0$$ .

What is the difference between a binomial and a trinomial?

A binomial is a polynomial with two terms, such as $$x + 2$$ . A trinomial is a polynomial with three terms, such as $$x^2 + 3x + 2$$ .

How do you evaluate a polynomial at a given value?

To evaluate a polynomial at a given value, substitute the value for the variable and simplify. For example, to evaluate $$2x^2 + 3x - 5$$ at $$x = 2$$ , substitute to get $$2(2)^2 + 3(2) - 5 = 8 + 6 - 5 = 9$$ .

What is the leading coefficient of a polynomial?

The leading coefficient is the coefficient of the term with the highest degree in a polynomial. For example, in $$4x^3 + 2x^2 - x + 7$$ , the leading coefficient is 4.

Polynomials Practice Flashcards

Student preview

14 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

2.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

3.

FLASHCARD QUESTION

Front

How do you find the perimeter of a square?

Back

Tags

CCSS.4.MD.A.3

4.

FLASHCARD QUESTION

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter of a rectangle is calculated using the formula: Perimeter = 2 * (length + width).

Tags

CCSS.4.MD.A.3

5.

FLASHCARD QUESTION

Front

How do you simplify the expression -3x^2(7x^2 - x + 4)?

Back

Tags

CCSS.HSA.APR.A.1

6.

FLASHCARD QUESTION

Front

What is the product of two binomials?

Back

Tags

CCSS.HSA.APR.A.1

7.

FLASHCARD QUESTION

Front

What is the sum of polynomials?

Back

Tags

CCSS.HSA.APR.A.1

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