Combining Polynomials Assessment

Front

What is the product of (x + 7)²?

Back

x² + 14x + 49

Front

Calculate the product of (2x - 1)(x + 2).

Back

2x² + 3x - 2

Front

Find the sum of (3y² + y³ - 5) + (4y² - 4y + 2y³ + 8).

Back

3y³ + 7y² - 4y + 3

Front

What is the result of (x + 10)(x - 10)?

Back

x² - 100

Front

Calculate -5x⁶(3x² - 12x + 30).

Back

-15x⁸ + 60x⁷ - 150x⁶

Front

Define 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 4x³ + 3x² - 2?

Back

The degree is 3, which is the highest exponent of the variable.

Front

Explain the process of combining like terms in polynomials.

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable raised to the same power.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a single term, while a polynomial is a sum of two or more monomials.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.