Polynomials & Factoring mixed review

What is the standard form of a polynomial?

• A polynomial written in ascending order of its degree.

• A polynomial written in descending order of its degree.

• A polynomial that contains only positive coefficients.

• A polynomial that is factored into linear terms.

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.

• A monomial can have multiple terms, while a polynomial has only one term.

• Both monomials and polynomials can have any number of terms.

• A monomial is a type of polynomial that includes variables only.

What does it mean to factor a polynomial?

• To express the polynomial as a product of its factors.

• To add the coefficients of the polynomial together.

• To find the roots of the polynomial using the quadratic formula.

• To convert the polynomial into a linear equation.

What is a binomial?

• A polynomial with exactly two terms.

• A polynomial with three terms.

• A polynomial with one term.

• A polynomial with four terms.

What is the difference of squares?

• A special factoring pattern: a² - b² = (a + b)(a - b).

• A method for solving quadratic equations.

• A technique for simplifying fractions.

• A formula for calculating the area of a circle.

What is a trinomial?

• A polynomial with exactly two terms.

• A polynomial with exactly three terms.

• A polynomial with four or more terms.

• A polynomial with no terms.

What is a leading coefficient?

• The coefficient of the term with the highest degree in a polynomial.

• The constant term in a polynomial.

• The coefficient of the term with the lowest degree in a polynomial.

• The sum of all coefficients in a polynomial.

What is a polynomial?

• A mathematical expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, multiplication, and non-negative integer exponents.

• A type of equation that only includes variables and constants without any operations.

• A mathematical expression that can only include positive integers and no variables.

• A complex number that is raised to a power greater than one.

Factor: x^2 + 7x - 30

• (x + 10)(x - 3)

• (x + 5)(x + 6)

• (x - 10)(x + 3)

• (x + 15)(x - 2)

What is the two-step factor of 2n^2 + 16n + 14?

• 2(n + 1)(n + 7)

• (n + 2)(n + 7)

• 2(n + 2)(n + 6)

• (n + 1)(n + 14)