Spiral #12/ Day 3

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 2x^2 + 3x - 5 is a polynomial.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 4x^3 + 2x^2 - x, the degree is 3.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms. For example, (2x^2 + 3x) + (4x^2 + 5) = (2x^2 + 4x^2) + 3x + 5 = 6x^2 + 3x + 5.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term. For example, 3x^2 is a monomial.

Front

Is 5x + 8 a monomial?

Back

No, 5x + 8 is a binomial because it has two terms.

Front

What is the result of (2x^2 + 5x - 7) + (3 - 4x^2 + 6x)?

Back

The result is -2x^2 + 11x - 4.

Front

What is the result of (4x^3 - 5x^2 + 3x) + (-2x^3 - x^2 + 6x)?

Back

The result is 2x^3 - 6x^2 + 9x.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign and then combine like terms. For example, (5x^2 - 3) - (2x^2 + 4) = 5x^2 - 3 - 2x^2 - 4 = 3x^2 - 7.

Front

What is the result of (5x^4 - 4x^3 - 2x^2 + x - 19) - (x^4 + 5x^3 + 8x^2 + x + 5)?

Back

The result is 4x^4 - 9x^3 - 10x^2 - 24.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms.