Polynomial Operations

What is the standard form of a polynomial?

• The standard form of a polynomial is written in ascending order of the degree of its terms, from lowest to highest.

• The standard form of a polynomial is written in descending order of the degree of its terms, from highest to lowest.

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

• The standard form of a polynomial is written with all coefficients equal to one.

Define a polynomial.

• A polynomial is a mathematical expression consisting of variables raised to negative integer powers and coefficients, combined using addition, subtraction, and multiplication.

• A polynomial is a mathematical expression consisting of variables raised to non-negative integer powers and coefficients, combined using division and multiplication.

• A polynomial is a mathematical expression consisting of variables raised to non-negative integer powers and coefficients, combined using addition, subtraction, and multiplication.

• A polynomial is a mathematical expression that only includes constants and no variables.

What is the product of the polynomials (5n-8) and (5n+8)?

• 25n^2 - 64

• 25n^2 + 64

• 20n^2 - 64

• 30n^2 - 64

Multiply the polynomials (3x-2) and (x^2+x-1). What is the result?

• @@3x^3 + x^2 - 5x + 2@@

• @@3x^3 + 2x^2 - 5x - 2@@

• @@3x^3 - x^2 + 5x + 2@@

• @@3x^3 + x^2 + 5x - 2@@

What is the degree of a polynomial?

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

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

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

• The degree is always equal to 1.

What is the result of multiplying the polynomial (x+2) by itself?

• @@x^2 + 4x + 4@@

• @@x^2 + 2x + 2@@

• @@x^2 + 6x + 8@@

• @@x^2 + 3x + 2@@

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

• @@x^2 + x + 1@@

• @@x^2 - x + 1@@

• @@x^2 + 2@@

• @@x^2 + 3x - 2@@

• @@2x^2 + 2x@@

• @@3x^2 + 2x@@

• @@x^2 + 2x@@

• @@2x^2 + 4x@@

What is the square of the polynomial (2x+3)?

• @@4x^2 + 12x + 9@@

• @@4x^2 + 6x + 9@@

• @@2x^2 + 12x + 9@@

• @@4x^2 + 9@@

What is the product of the polynomials (x+1) and (x-1)?

• @@x^2 - 1@@

• @@x^2 + 1@@

• @@x^2 - 2@@

• @@x^2 + 2@@