How do you combine the polynomials $$(2x + 3) + (4x - 5)$$ ?

Combine like terms: $$(2x + 4x) + (3 - 5) = 6x - 2$$ .

What is the result of $$(3x^2 - 2x + 1) - (x^2 + 4)$$ ?

Distributing the negative sign gives $$(3x^2 - 2x + 1 - x^2 - 4) = 2x^2 - 2x - 3$$ .

What is the process to simplify $$(5x^2 + 3x) + (2x^2 - x)$$ ?

Combine like terms: $$(5x^2 + 2x^2) + (3x - x) = 7x^2 + 2x$$ .

What does it mean to write an answer in standard form?

Writing an answer in standard form means arranging the polynomial in descending order of exponents and combining like terms.

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, for $$2x^2 + 3x$$ at $$x=2$$ , it becomes $$2(2)^2 + 3(2) = 8 + 6 = 14$$ .

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

Distributing the negative gives $$(x^2 + 2x + 1 - x - 1) = x^2 + x$$ .

What is the sum of $$(x^3 + 2x^2) + (3x^2 - x)$$ ?

Combine like terms: $$x^3 + (2x^2 + 3x^2) - x = x^3 + 5x^2 - x$$ .

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.

A. Classify, Add, Sub Polynomials CFA Flashcards

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FLASHCARD QUESTION

Front

What is a polynomial?

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2.

FLASHCARD QUESTION

Front

What does it mean to add polynomials?

Back

Adding polynomials involves combining like terms, which are terms that have the same variable raised to the same power.

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