A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, $$2x^2 + 3x - 5$$ is a polynomial.

A binomial is a polynomial that contains exactly two terms. For example, $$x + 5$$ and $$3x^2 - 2$$ are both binomials.

Factor the polynomial: x^2 + 5x + 6.

The factored form is $$(x + 2)(x + 3)$$ .

A trinomial is a polynomial that contains exactly three terms. For example, $$x^2 + 5x + 6$$ is a trinomial.

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 $$3x^4 + 2x^3 - x + 5$$ , the leading coefficient is 3.

Factor completely: 2x^2 + 8x.

The completely factored form is $$2x(x + 4)$$ .

What is the sum of cubes formula?

The sum of cubes formula states that $$a^3 + b^3 = (a + b)(a^2 - ab + b^2)$$ .

Factor the expression: x^2 - 4x + 4.

The factored form is $$(x - 2)(x - 2)$$ or $$ (x - 2)^2 $$ .

What is the product of a sum and a difference?

The product of a sum and a difference is given by the formula $$(a + b)(a - b) = a^2 - b^2$$ .

Factor the polynomial: x^2 - 9.

The factored form is $$(x - 3)(x + 3)$$ .

Multiplying & Factoring Polynomials Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Define a polynomial.

Back

2.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

3.

FLASHCARD QUESTION

Front

What is a binomial?

Back

4.

FLASHCARD QUESTION

Front

What does it mean to factor a polynomial?

Back

5.

FLASHCARD QUESTION

Front

What is the FOIL method?

Back

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