Dec. 4th Warm-Up

Front

What is the degree of the polynomial 5x^5 - 6x^6 + 2?

Back

The degree of the polynomial is 6.

Front

Which expression is equivalent to (6x^2 + 4x - 2) - (8x^2 - 9x - 5)?

Back

The equivalent expression is -2x^2 + 13x + 3.

Front

Simplify the expression (6x + 4x^4 - 3x^2) + (7x^4 + 5x^2 + 8x).

Back

The simplified expression is 11x^4 + 2x^2 + 14x.

Front

What is the result of (-x^2 + 7x - 4) - (6x^2 - x + 10)?

Back

The result is -7x^2 + 8x - 14.

Front

Which expression is equivalent to (6rt - 2rw - 9tw) + (4rt - 5rw + tw)?

Back

The equivalent expression is 10rt - 7rw - 8tw.

Front

Define the degree of a polynomial.

Back

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

Front

What is the process of simplifying an expression?

Back

Simplifying an expression involves combining like terms and reducing it to its simplest form.

Front

What are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power.

Front

Explain how to combine like terms in the expression 4x^2 + 3x^2 - 2x + 5.

Back

Combine 4x^2 and 3x^2 to get 7x^2, resulting in 7x^2 - 2x + 5.

Front

What is the result of subtracting two polynomials?

Back

To subtract two polynomials, subtract the coefficients of like terms.