A monomial is a polynomial with only one term. For example, $$5x^3$$ and $$-2xy$$ are monomials.

A binomial is a polynomial with exactly two terms. For example, $$3x + 4$$ and $$x^2 - 5x$$ are binomials.

A trinomial is a polynomial with exactly three terms. For example, $$x^2 + 3x + 2$$ is a trinomial.

What is the perimeter of a rectangle with length $$l$$ and width $$w$$ ?

The perimeter of a rectangle is given by the formula $$P = 2l + 2w$$ .

What is the formula for the perimeter of a triangle?

The perimeter of a triangle is the sum of the lengths of its sides. If the sides are $$a$$ , $$b$$ , and $$c$$ , then $$P = a + b + c$$ .

What is the difference between a polynomial and a rational function?

A polynomial is a function that can be expressed as a sum of terms with non-negative integer exponents, while a rational function is a ratio of two polynomials.

How do you find the value of a polynomial at a given point?

To find the value of a polynomial at a given point, substitute the value of the variable into the polynomial and simplify. For example, for $$P(x) = 2x^2 + 3x - 5$$ , to find $$P(2)$$ , calculate $$2(2^2) + 3(2) - 5 = 8 + 6 - 5 = 9$$ .

What is a zero of a polynomial?

A zero of a polynomial is a value of the variable that makes the polynomial equal to zero. For example, if $$P(x) = x^2 - 4$$ , then the zeros are $$x = 2$$ and $$x = -2$$ .

What is the factor theorem?

The factor theorem states that if $$P(c) = 0$$ for a polynomial $$P(x)$$ , then $$x - c$$ is a factor of $$P(x)$$ .

What is synthetic division?

Synthetic division is a simplified method of dividing a polynomial by a linear divisor of the form $$x - c$$ . It is faster than long division and is used to find polynomial quotients.

Polynomial review 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 is the degree of a polynomial?

Back

3.

FLASHCARD QUESTION

Front

How do you add polynomials?

Back

4.

FLASHCARD QUESTION

Front

How do you subtract polynomials?

Back

5.

FLASHCARD QUESTION

Front

What is the leading coefficient of a polynomial?

Back

6.

FLASHCARD QUESTION

Front

What is a monomial?

Back

7.

FLASHCARD QUESTION

Front

What is a binomial?

Back

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