Add and Subtract Polynomials

What is the standard form of a polynomial?

• When the terms are arranged in descending order of their degrees. For example, @@4x^3 + 2x^2 - x + 5@@ is in standard form.

• When the terms are arranged in ascending order of their degrees.

• When the polynomial has only one term.

• When the polynomial is expressed as a product of its factors.

What is a polynomial?

• A mathematical expression consisting of variables raised to non-negative integer powers and coefficients, e.g., @@2x^2 + 3x - 5@@.

• A type of equation that only includes constants and no variables.

• A mathematical expression that can only include positive integers.

• A function that describes a straight line.

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 does it mean to add polynomials?

• Combining like terms with the same variable raised to the same power.

• Multiplying polynomials together to get a product.

• Finding the roots of the polynomial equations.

• Dividing one polynomial by another.

How do you simplify the expression @@-5a^6 - 5a^4@@?

• The expression @@-5a^6 - 5a^4@@ can be factored as @@-5a^4(a^2 + 1)@@.

• The expression @@-5a^6 - 5a^4@@ is already simplified as there are no like terms to combine.

• The expression @@-5a^6 - 5a^4@@ can be simplified to @@-5a^6@@.

• The expression @@-5a^6 - 5a^4@@ can be simplified to @@-10a^4@@.

What is the degree of a polynomial?

• The degree of a polynomial is the highest power of the variable in the polynomial.

• The degree of a polynomial is the sum of the coefficients of its terms.

• The degree of a polynomial is always a positive integer.

• The degree of a polynomial is the number of terms in the polynomial.

What is the perimeter of a triangle?

• The perimeter is the sum of the lengths of all its sides: @@P = a + b + c@@

• The perimeter is the length of the longest side.

• The perimeter is the area of the triangle multiplied by 2.

• The perimeter is the average length of the sides.

How do you classify the polynomial @@x^2 + 7x^3 + x - 10@@?

• Cubic trinomial

• Quadratic binomial

• Linear polynomial

• Cubic binomial

What is the leading coefficient of a polynomial?

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

• The constant term in a polynomial.

• The sum of all coefficients in a polynomial.

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