What is the result of subtracting $$(x^2 - 2x + 1)$$ from $$(3x^2 - 3x + 2)$$ ?

The result is $$2x^2 - x + 1$$ .

How do you add polynomials?

To add polynomials, combine like terms by adding their coefficients. For example, $$(2x^2 + 3x) + (4x^2 + 5) = 6x^2 + 3x + 5$$ .

What is the result of adding $$(6n^2 - 7n^4 + 8)$$ and $$(6 + 8n + 4n^4)$$ ?

The result is $$-3n^4 + 6n^2 + 8n + 14$$ .

What is the degree of a polynomial?

The degree of a polynomial is the highest power of the variable in the expression. For example, the degree of $$4x^3 + 2x^2 - x + 7$$ is 3.

What is the standard form of a polynomial?

The standard form of a polynomial is when the terms are arranged in descending order of their degrees. For example, $$3x^4 + 2x^3 - x + 5$$ .

What does it mean to factor a polynomial by GCF?

Factoring a polynomial by GCF means to express the polynomial as a product of its GCF and another polynomial. For example, $$6x^2 + 9x = 3x(2x + 3)$$ .

What is the result of subtracting $$(7p + 4p^3 - 8)$$ and $$(-3p^2 + 2 - 9p)$$ ?

The result is $$4p^3 + 3p^2 + 16p - 10$$ .

What is a coefficient in a polynomial?

A coefficient is a numerical factor in a term of a polynomial. For example, in $$5x^2$$ , the coefficient is 5.

What is the difference between a monomial and a polynomial?

A monomial is a polynomial with only one term, while a polynomial can have multiple terms. For example, $$3x$$ is a monomial, and $$3x + 2$$ is a polynomial.

Operations with Polynomials and Factor by GCF Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

2.

FLASHCARD QUESTION

Front

What does GCF stand for in mathematics?

Back

GCF stands for Greatest Common Factor, which is the largest factor that two or more numbers share.

3.

FLASHCARD QUESTION

Front

How do you find the GCF of two or more terms?

Back

4.

FLASHCARD QUESTION

Front

What is the process of subtracting polynomials?

Back

To subtract polynomials, distribute the negative sign to the second polynomial and then combine like terms.

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