POLYNOMIALS REVIEW

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. 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 expression. For example, in 4x^3 + 2x^2 - x, the degree is 3.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients. For example, (2x^2 + 3x) + (4x^2 + 5x) = 6x^2 + 8x.

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 + 1) = 3x^2 + 2.

Front

What is a like term?

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.

Front

What is the product of (a + b)(a - b)?

Back

The product of (a + b)(a - b) is a^2 - b^2, known as the difference of squares.

Front

What is the result of multiplying (x + 1)(x + 2)?

Back

The result is x^2 + 3x + 2.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by P = 2(length + width).

Front

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

Back

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

Front

What is the difference of (3 - 2x + 2x^2) and (4x - 5 + 3x^2)?

Back

The difference is -x^2 - 6x + 8.