Mastering Polynomial Long Division Techniques

The video tutorial covers polynomial operations, focusing on division. It begins with a review of adding, subtracting, and multiplying polynomials, then introduces polynomial division. The instructor reviews long division with numbers before applying it to polynomials, demonstrating how to handle complex problems and missing terms. The tutorial concludes with using division to factor and solve polynomial equations.

What is the first step in dividing polynomials using the factoring method?

• Add the polynomials

• Factor out common terms

• Multiply the polynomials

• Combine like terms

When performing long division with numbers, where does the denominator go?

• Below the division box

• Outside the division box

• Above the division box

• Inside the division box

In long division, what do you do after multiplying the divisor by the quotient?

• Add the result to the dividend

• Subtract the result from the dividend

• Multiply the result by the dividend

• Divide the result by the dividend

What is the first step in polynomial long division?

• Multiply the polynomials

• Divide the leading term of the dividend by the leading term of the divisor

• Add the polynomials

• Factor the polynomials

In polynomial long division, what do you do after subtracting the product from the dividend?

• Add the result to the dividend

• Bring down the next term

• Divide the result by the divisor

• Multiply the result by the divisor

What should you be careful about when subtracting in polynomial long division?

• Handling negative numbers

• Combining like terms

• Adding the terms

• Multiplying the terms

What do you do if a term is missing in the polynomial during long division?

• Ignore the missing term

• Multiply the missing term by one

• Add a zero for the missing term

• Subtract the missing term

How do you handle a remainder in polynomial long division?

• Ignore the remainder

• Multiply the remainder by the divisor

• Add the remainder to the quotient

• Put the remainder over the divisor and add it to the quotient

What does it mean if a polynomial is a factor of another polynomial?

• It divides the polynomial with a remainder

• It adds to the polynomial

• It divides the polynomial evenly with no remainder

• It multiplies the polynomial

What is the final step in polynomial long division if there is no remainder?

• Add the quotient to the divisor

• Subtract the quotient from the divisor

• Multiply the quotient by the divisor

• Write down the quotient as the final answer