A large data set that requires analysis.

A polynomial is an expression made up of variables, coefficients, and the operations of addition, subtraction, and multiplication.

A single variable equation without any exponents.

A type of matrix multiplication.

They are the final result of a polynomial calculation.

Terms in a polynomial are parts of the expression separated by plus or minus signs. Each term contains a coefficient, a variable, and an exponent.

They refer to the number of variables in the polynomial.

Terms in a polynomial refer to the coefficients only.

By dividing each term and summing them up.

By multiplying like terms together.

To add polynomials, combine like terms, which are terms with the same variables raised to the same powers.

By aligning coefficients and ignoring variables.

Like terms have coefficients of equal value.

They only share the same coefficient.

Terms that appear more than once in a polynomial.

Like terms have identical variable letters with the same exponents. Only these can be combined by addition or subtraction.

6x + 8.

8x + 10.

2x^2 + 15.

4x + 9.

Subtract polynomials by inversing all coefficients.

To subtract polynomials, distribute the negative sign across the terms of the polynomial being subtracted, then combine like terms.

Subtract each coefficient separately.

Simply reverse the order and re-add.

5x^2 + 3x - 7.

-5x^2 + 3x - 7.

-5x^2 - 3x + 7.

5x^2 - 3x + 14.

Nothing happens, it remains the same.

The polynomial becomes a positive expression.

Only the first term is negated.

You have to distribute the negative sign to each term within the polynomial.

10x^2 + 7x + 2.

4x^2 - 3x - 10.

4x^2 + 7x - 2.

5x^2 - 3x + 10.

Coefficients determine the variables used in the terms.

Coefficients are the numerical part of the terms, and they're added or subtracted while keeping the variables and exponents unchanged.

Coefficients must always remain constant regardless of the operation.

Coefficients are used only for multiplying polynomials.

Yes, because all are part of the same family of variables.

No, because they are unlike terms. Terms must have the same variable and power to be added.

Yes, by adding their coefficients.

No, addition is not possible between different expressions.

4a + 5a.

20a.

1a.

9a.

Distribute any negative sign through the parentheses before combining like terms.

Reorder the terms alphabetically.

Ignore the parentheses and proceed normally.

Add all terms inside the parentheses first.

3x^2 - 4x + 5.

x^2 + 3x + 3.

x^2 - 4x + 3.

3x - 5.

It speeds up the process of polynomial division.

It is not important but often done as a formality.

Aligning terms by degree helps to ensure that only like terms are combined, making simplification easier.

It is only necessary for complex polynomial expressions.