How do you factor the expression $$2x^2 - 14x - 60$$ ?

The expression can be factored as $$2(x-10)(x+3)$$ .

What is the factored form of $$x^2 + 8x - 20$$ ?

The factored form is $$(x-2)(x+10)$$ .

How do you factor the polynomial $$30x^6 + 24x^5 - 18x^4$$ ?

The polynomial can be factored as $$6x^4(5x^2 + 4x - 3)$$ .

What does it mean if a polynomial is 'not factorable'?

A polynomial is 'not factorable' if it cannot be expressed as a product of polynomials with integer coefficients. For example, $$16x^2 + 9$$ is not factorable over the integers.

What is the factored form of $$y^2 + 8y + 16$$ ?

The factored form is $$(y+4)(y+4)$$ or $$ (y+4)^2 $$ .

What is a perfect square trinomial?

A perfect square trinomial is a trinomial that can be expressed as the square of a binomial. For example, $$x^2 + 6x + 9$$ is a perfect square trinomial because it factors to $$(x+3)^2$$ .

What is the difference of squares?

The difference of squares is a special factoring pattern that states $$a^2 - b^2 = (a-b)(a+b)$$ . For example, $$x^2 - 9 = (x-3)(x+3)$$ .

What is the standard form of a polynomial?

The standard form of a polynomial is written in descending order of the degree of its terms. For example, $$4x^3 + 2x^2 - x + 7$$ is in standard form.

How do you identify the degree of a polynomial?

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

What is synthetic division and when is it used?

Synthetic division is a simplified method of dividing a polynomial by a linear binomial. It is used when dividing by expressions of the form $$x - c$$ .

What is the Remainder Theorem?

The Remainder Theorem states that the remainder of the division of a polynomial $$f(x)$$ by $$x - c$$ is equal to $$f(c)$$ .

U4 Test Review - 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

What does it mean to factor a polynomial?

Back

3.

FLASHCARD QUESTION

Front

What is the difference between a monomial, binomial, and trinomial?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the greatest common factor (GCF) and how is it used in factoring?

Back

The GCF is the largest factor that divides all terms in a polynomial. It is used to factor out common terms from the polynomial, simplifying the expression.

7.

FLASHCARD QUESTION

Front

Back

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