Polynomials

What does it mean to simplify a polynomial expression?

• Combining like terms to reduce it to its simplest form.

• Factoring the polynomial into its roots.

• Finding the derivative of the polynomial expression.

• Evaluating the polynomial at a specific value.

What is the result of @@ ext{(5s + 2)}^2@@?

• 25s^2 + 20s + 4

• 20s^2 + 10s + 4

• 25s^2 + 10s + 4

• 30s^2 + 20s + 5

How do you add polynomials?

• Combine like terms, for example, @@(2x^2 + 3x) + (4x^2 + 5) = 6x^2 + 3x + 5@@.

• Multiply the coefficients of the terms.

• Subtract the coefficients of the terms.

• Factor the polynomials before adding.

What is the sum of the polynomials @@ (3 - 2x + 2x^2) + (4x - 5 + 3x^2) @@?

• 5x^2 + 2x - 2

• 6x^2 + 2x - 1

• 5x^2 + 3x - 5

• 4x^2 + 2x - 3

How do you find the product of two binomials?

• Use the distributive property (FOIL method) to get @@x^2 + 5x + 6@@

• Multiply the coefficients and add the exponents of the variables

• Add the two binomials together

• Subtract the two binomials from each other

What is the standard form of a polynomial?

• The standard form of a polynomial arranges the terms by degree in descending order. For example, @@3x^4 + 2x^3 - x + 5@@ is in standard form.

• The standard form of a polynomial arranges the terms by degree in ascending order.

• The standard form of a polynomial includes only positive coefficients.

• The standard form of a polynomial is a single term with no variables.

What is the degree of a polynomial?

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

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

• The degree is the sum of the coefficients of the polynomial.

• The degree is always 2 for quadratic polynomials.

What is the process of factoring a polynomial?

• Expressing it as a sum of its coefficients.

• Expressing it as a product of its factors.

• Finding the roots of the polynomial.

• Simplifying the polynomial to its lowest terms.

What are like terms in a polynomial?

• Terms that have different variables

• Terms that have the same variable raised to the same power

• Terms that are constants only

• Terms that have the same coefficient

What is the leading coefficient of a polynomial?

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

• The constant term of the polynomial.

• The sum of all coefficients in the polynomial.

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