4.3 Add Subtract Multiply Polynomials

Front

What is a polynomial?

Back

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

Front

What is the degree of a polynomial?

Back

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

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

How do you multiply two binomials?

Back

Use the distributive property (FOIL method): Multiply the first terms, outer terms, inner terms, and last terms, then combine like terms.

Front

What is the result of multiplying (x + 1)(x - 6)?

Back

x^2 - 5x - 6.

Front

What is the result of multiplying (x - 4)^3?

Back

x^3 - 12x^2 + 48x - 64.

Front

How do you simplify the expression -6x - 5(10x + 3)?

Back

-56x - 15.

Front

What is the product of 5x^2(3x^2 + 7x + 6)?

Back

15x^4 + 35x^3 + 30x^2.

Front

What is a constant in a polynomial?

Back

A constant is a term in a polynomial that does not contain any variables, and its degree is 0.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a polynomial with only one term, while a polynomial can have multiple terms.