Mastering Polynomial Long Division Techniques

What is the first step in setting up the long division of polynomials?

• Multiply the divisor by the dividend.

• Place the dividend inside the division bar.

• Subtract the divisor from the dividend.

• Place the divisor inside the division bar.

What term do you need to multiply by X to get X cubed?

• X cubed

• 1

• X

• X squared

What is the result of multiplying X squared by X plus 3?

• X cubed plus 3X

• X squared plus 3X

• X cubed plus 3X squared

• X cubed plus X squared

What do you get when you subtract X cubed plus 3X squared from X cubed plus X squared?

• 2X squared

• Negative X squared

• Negative 2X squared

• X squared

What term do you need to multiply by X to get negative 2X squared?

• 2X

• Negative 2X

• Negative X

• Negative 2

What is the result of multiplying negative 2X by X plus 3?

• Negative 2X squared plus 6X

• Negative 2X squared minus 6X

• 2X squared minus 6X

• 2X squared plus 6X

What do you get when you subtract negative 2X squared minus 6X from negative 2X squared minus 5X?

• X

• Negative X

• 1X

• Negative 1X

What term do you need to multiply by X to get X?

• 1

• 0

• X

• X squared

What is the final quotient when dividing X cubed plus X squared minus 5X plus 3 by X plus 3?

• X squared minus X plus 3

• X squared minus 2X plus 3

• X squared minus 2X plus 1

• X squared minus X plus 1

What is the connection between the quotient and the divisor when there is no remainder?

• The quotient subtracted from the divisor equals the dividend.

• The quotient added to the divisor equals the dividend.

• The quotient divided by the divisor equals the dividend.

• The quotient multiplied by the divisor equals the dividend.