How do you simplify the expression $$(-7 - 8p - 4p^2) - (-2 - 4p^4 + 4p^2)$$ ?

First, distribute the negative sign: $$-7 - 8p - 4p^2 + 2 + 4p^4 - 4p^2$$ . Then combine like terms: $$4p^4 - 8p^2 - 8p - 5$$ .

How do you simplify the expression $$(3a^2 - 4 - a^3) - (-6a + 5 - 8a^3)$$ ?

First, distribute the negative sign: $$3a^2 - 4 - a^3 + 6a - 5 + 8a^3$$ . Then combine like terms: $$7a^3 + 3a^2 + 6a - 9$$ .

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

Combine like terms: $$(-2x^4 + 4x^4) + (-7x^3 + 4x^3) = 2x^4 - 3x^3$$ .

What is the result of $$(-3n^4 - 3n^2 + 2) - (0)$$ ?

The result is simply $$-3n^4 - 3n^2 + 2$$ .

What is the result of $$(-3n^4 - 3n^2 - 4) - (0)$$ ?

The result is simply $$-3n^4 - 3n^2 - 4$$ .

What is the result of $$(-3n^2 + 2) - (0)$$ ?

The result is simply $$-3n^2 + 2$$ .

What is the result of $$3n^2 - 2 - 0$$ ?

The result is simply $$3n^2 - 2$$ .

What is the importance of understanding polynomials in algebra?

Understanding polynomials is crucial as they form the foundation for higher-level mathematics, including calculus, and are used in various applications in science, engineering, and economics.

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Math

Algebra

Adding And Subtracting Polynomials

Adding and Subtracting Polynomials

Flashcard

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

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FLASHCARD QUESTION

Front

What is a polynomial?

Back

FLASHCARD QUESTION

Front

What does it mean to add polynomials?

Back

FLASHCARD QUESTION

Front

What does it mean to subtract polynomials?

Back

FLASHCARD QUESTION

Front

How do you combine like terms in polynomials?

Back

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

FLASHCARD QUESTION

Front

What is a coefficient in a polynomial?

Back

FLASHCARD QUESTION

Front

What is a constant term in a polynomial?

Back

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