Polynomial Operations

Front

What is a cubic monomial?

Back

A cubic monomial is a polynomial with one term where the highest degree of the variable is three, e.g., 9x^3.

Front

What is the result of multiplying 7x^2y^3 by (2x^4y^5 + 6xy^3)?

Back

The result is 14x^6y^8 + 42x^3y^6.

Front

What is the product of (4x + 1) and (5x - 2)?

Back

The product is 20x^2 - 3x - 2.

Front

How do you simplify (3x + 4y - 3z) - (2x - 6y + 7z)?

Back

The simplified form is x + 10y - 10z.

Front

What does it mean for a polynomial to be in standard form?

Back

A polynomial is in standard form when its terms are arranged in descending order of degree.

Front

Is 7x^3 - 11x^2 + 8x - 5 in standard form?

Back

True, it is in standard form.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the degree of the polynomial 5x^4 - 3x^2 + 2?

Back

The degree is 4, which is the highest exponent of the variable.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, e.g., 3x + 4.

Front

What is the result of (x + 2)(x - 3)?

Back

The result is x^2 - x - 6.