Polynomial Operations Review

What is the result of subtracting two polynomials?

• A new polynomial formed by subtracting the coefficients of like terms.

• A single number that represents the difference between the two polynomials.

• The same polynomial as the first one.

• A polynomial with only constant terms.

What does it mean to factor a polynomial?

• Expressing it as a sum of its terms.

• Expressing it as a product of its factors.

• Finding the roots of the polynomial.

• Dividing the polynomial by a constant.

Which expression is equivalent to: @@4x^3y@@(-2@@x^3y^2@@ + 4@@x^2y@@)?

• @@-8x^6y^3 + 16x^5y^2@@

• @@-8x^5y^3 + 16x^4y^2@@

• @@-8x^4y^3 + 16x^3y^2@@

• @@-8x^6y^2 + 16x^5y@@

What is the FOIL method used for?

• To add two polynomials

• To multiply two binomials

• To factor a quadratic equation

• To find the roots of a polynomial

What is the result of adding two polynomials?

• A new polynomial formed by combining like terms.

• A single number that represents the sum of coefficients.

• A polynomial with only the highest degree term.

• An expression that cannot be simplified.

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 the number of terms in the polynomial.

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

Which is equivalent to the expression: (22@@x^2@@ + 3x - 10) - (13@@x^2@@ + 6x - 5)?

• 9@@x^2@@ - 3x - 5

• 8@@x^2@@ - 3x - 5

• 9@@x^2@@ + 3x - 5

• 9@@x^2@@ - 2x - 5

What is a binomial?

• A polynomial that contains exactly two terms.

• A polynomial that contains three terms.

• A polynomial that contains one term.

• A polynomial that contains four terms.

Simplify: (3x + 4)(2x - 5)

• @@6x^2 - 7x - 20@@

• @@6x^2 + 7x - 20@@

• @@6x^2 - 7x + 20@@

• @@6x^2 + 7x + 20@@

Find the product: (5n-8)(5n+8)

• @@25n^2 - 64@@

• @@25n^2 + 64@@

• @@5n^2 - 40@@

• @@25n^2 - 16@@