Polynomials and Polynomial opperations

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists 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 polynomial.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms.

Front

How do you classify the polynomial -3x^4 - 3x^2 + 5?

Back

It is classified as a Quartic Trinomial because the highest degree is 4 and it has three terms.

Front

What does it mean to evaluate a polynomial?

Back

To evaluate a polynomial means to substitute a specific value for the variable and simplify the expression.

Front

Find f(0) if f(x) = -3x^2 + 5x + 1. What is f(0)?

Back

f(0) = 1.

Front

What is the product of (x - 3)^2?

Back

The product is x^2 - 6x + 9.

Front

What is the result of distributing -3 to (x - 4)?

Back

The result is -3x + 12.