Adding and Subtracting Polynomials Explained

The video tutorial explains how to simplify a polynomial expression by distributing a negative sign and combining like terms. It begins with rewriting the expression without unnecessary parentheses, then distributes the negative sign across the terms inside the parentheses. Finally, it combines terms with the same degree of x to achieve a simplified polynomial.

What is the first step in simplifying the given polynomial?

• Identify the highest degree term

• Distribute the negative sign

• Combine like terms

• Add the constants

What happens to the term 3x squared when distributing the negative sign?

• It becomes 3x

• It is eliminated

• It becomes -3x squared

• It remains positive

How does the term 'x' change after distributing the negative sign?

• It becomes +x

• It remains unchanged

• It becomes -x

• It is eliminated

What is the result of multiplying a negative by a negative for the constant term?

• It remains -9

• +9

• 0

• -9

What is the highest degree term in the simplified polynomial?

• -3x

• +23

• -3x squared

• +15x

After simplification, what is the coefficient of the x term?

• 16

• -1

• 15

• 14

What is the sum of the constant terms in the simplified polynomial?

• 14

• 9

• 5

• 23

How many terms are in the final simplified polynomial?

• One

• Four

• Two

• Three

What is the correct order for simplifying a polynomial?

• Identify highest degree term, distribute negative sign, combine like terms

• Distribute negative sign, identify highest degree term, combine like terms

• Distribute negative sign, combine like terms, identify highest degree term

• Combine like terms, distribute negative sign, identify highest degree term