Polinômio Flashcards
(24 cards)
What is a polynomial?
A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.
True or False: A polynomial can have negative exponents.
False.
What is the degree of the polynomial 4x^3 + 2x^2 - x + 7?
The degree is 3.
Fill in the blank: The expression 3x^2 + 5x - 2 is a _____ polynomial.
quadratic
What is the value of the polynomial 2x^2 + 3x - 5 when x = 2?
The value is 9.
What is the result of applying the distributive property to the expression a(b + c)?
The result is ab + ac.
True or False: The sum of two polynomials is always a polynomial.
True.
What is the root of the polynomial x^2 - 4?
The roots are x = 2 and x = -2.
Which operation is used to combine like terms in polynomials?
Addition or subtraction.
What does the Remainder Theorem state?
The Remainder Theorem states that the remainder of the division of a polynomial f(x) by (x - c) is f(c).
Fill in the blank: The polynomial 5x^3 - 2x + 1 is a _____ polynomial.
cubic
What is the leading coefficient of the polynomial 6x^4 - 3x^2 + 2?
The leading coefficient is 6.
True or False: The difference of two polynomials is also a polynomial.
True.
What is the process called when you divide one polynomial by another?
Polynomial long division.
What is the value of the polynomial 5x - 3 when x = 1?
The value is 2.
What do you call a polynomial with only one term?
A monomial.
Fill in the blank: The expression (x + 3)(x - 2) is an example of _____ multiplication.
binomial
What is the result of the polynomial 3x^2 + 2x - 5 when x = -1?
The result is 0.
True or False: A polynomial can have a variable in the denominator.
False.
What is the sum of the polynomials 2x^2 + 3x and 4x^2 - x?
The sum is 6x^2 + 2x.
What is the product of the polynomials (x + 1) and (x + 2)?
The product is x^2 + 3x + 2.
What are the roots of the polynomial x^2 + 1?
The roots are complex: x = i and x = -i.
Fill in the blank: The polynomial 7x^5 + 3x^3 + 2 is a _____ polynomial.
quintic
How do you determine the value of a polynomial at a specific point?
By substituting the value of the variable into the polynomial expression.
