Using long division to divide two polynomials then determine the remaining zeros from quot

The video tutorial explains the process of long division for polynomials, focusing on determining if a polynomial can be evenly divided by another polynomial, specifically X + 6. The teacher guides students through setting up the division, performing the calculations, and understanding the significance of remainders. The tutorial also covers how to identify factors and zeros from the division results, emphasizing the importance of these concepts in polynomial mathematics.

What is the main objective of performing long division on the polynomial in the video?

• To determine if X + 6 is a factor

• To find the remainder of the division

• To find the derivative of the polynomial

• To simplify the polynomial

What is the first step in setting up the long division process?

• Ensuring the dividend and divisor are in ascending order

• Adding the dividend and divisor

• Ensuring the dividend and divisor are in descending order

• Multiplying the dividend by the divisor

When subtracting rows during long division, what must be done with each term?

• Multiply them by the divisor

• Divide them by the divisor

• Add them together

• Use the subtraction sign with each term

What does it mean if there is no remainder after performing long division?

• The divisor is not a factor

• The divisor is a factor

• The dividend is zero

• The division was performed incorrectly

What is the term used for something that divides evenly into a polynomial?

• Quotient

• Remainder

• Factor

• Dividend

How can zeros be found from factors?

• By multiplying the factors

• By setting the factors equal to zero

• By adding the factors

• By dividing the factors

What are the zeros of the polynomial discussed in the video?

• X = 2 and X = -2

• X = 4 and X = -4

• X = 0 and X = 6

• X = 6 and X = -6