How to write a polynomial in standard form when divided by a number

The video tutorial explains the concept of polynomials, focusing on the distributive property and division. It guides students through identifying polynomials, simplifying expressions, and understanding the leading coefficient and degree. The tutorial emphasizes the importance of correctly applying division and multiplication in polynomial expressions and concludes with a clear example of writing a polynomial in its final form.

What is the distributive property used for in division?

• To divide each term separately

• To subtract terms

• To add terms together

• To multiply terms together

Which of the following is NOT a characteristic of a polynomial?

• Having a variable in the denominator

• Having a constant term

• Having a variable with a positive exponent

• Having multiple terms

What is the leading coefficient in the expression 1/2 X to the 4th?

• 1

• 1/2

• 2

• 4

How do you determine the degree of a polynomial?

• By counting the number of terms

• By dividing the constant term by the leading coefficient

• By adding all the coefficients

• By identifying the highest power of the variable

In the expression 1/4 X to the 4th, what does the '1/4' represent?

• The constant term

• The variable

• The leading coefficient

• The degree of the polynomial