Operations with Polynomials Review

What is the result of 6v(2v + 3)?

• 12v² + 18v

• 6v² + 9v

• 12v² + 9v

• 6v² + 18v

What is the product of (a + b)(a - b)?

• a² + b²

• a² - b²

• a² × b²

• (a + b)²

What is the result of multiplying (5x - 3)(5x + 3)?

• 25x² - 9

• 20x² - 6

• 30x² - 9

• 25x² + 9

How do you subtract polynomials?

• Distribute the negative sign and then combine like terms.

• Add the coefficients of the polynomials together.

• Multiply the polynomials and then subtract the result.

• Factor the polynomials before subtracting.

How do you add polynomials?

• Combine all terms without any changes.

• Multiply the coefficients of the terms.

• Combine like terms by adding their coefficients.

• Subtract the coefficients of the terms.

What is a coefficient in a polynomial?

• A coefficient is a numerical factor that multiplies a variable in a term of a polynomial.

• A coefficient is a constant term that does not change in a polynomial.

• A coefficient is the highest degree of a polynomial.

• A coefficient is the sum of all the terms in a polynomial.

What is the degree of a polynomial?

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

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

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

• The degree of a polynomial is always a negative number.

What is the process of factoring a polynomial?

• Factoring a polynomial involves expressing it as a product of its factors.

• Factoring a polynomial involves finding its roots only.

• Factoring a polynomial is the same as simplifying it.

• Factoring a polynomial means rewriting it in standard form.

How do you find the difference of two polynomials?

• To find the difference, subtract the second polynomial from the first and combine like terms.

• To find the difference, add the two polynomials together and simplify.

• To find the difference, multiply the two polynomials and simplify.

• To find the difference, divide the first polynomial by the second and simplify.

What does it mean to simplify a polynomial?

• Combining like terms and reducing the expression to its simplest form.

• Adding more variables to the polynomial.

• Multiplying the polynomial by a constant.

• Factoring the polynomial into its prime components.