Long Division of Polynomials

This video tutorial explains how to divide trinomials by binomials using long division. It provides step-by-step examples, demonstrating the process of setting up the division, solving it, and handling remainders. The video covers three examples, each increasing in complexity, and concludes with tips on dealing with remainders and ensuring understanding of the division process.

What is the primary method used for dividing trinomials by binomials?

• Factoring

• Polynomial multiplication

• Synthetic division

• Long division

In the first example, what is the trinomial being divided?

• x^2 + 4x + 5

• x^2 + 4x - 5

• x^2 + 3x - 5

• x^2 + 5x - 4

What is the first step in setting up the long division for the trinomial x^2 + 4x - 5?

• Multiply the trinomial by the binomial

• Subtract the binomial from the trinomial

• Add the binomial to the trinomial

• Place the trinomial under the division symbol

How many times does x go into x^2 in the first example?

• 2 times

• 1 time

• x times

• x^2 times

What is the result of subtracting x^2 + x from x^2 + 4x - 5?

• 4x - 5

• x - 5

• 3x - 5

• 3x + 5

What is the first step in dividing a trinomial by a binomial?

• Set up the long division

• Subtract the binomial from the trinomial

• Add the binomial to the trinomial

• Multiply the trinomial by the binomial

How do you determine how many times the binomial's first term goes into the trinomial's first term?

• By dividing the terms

• By subtracting the terms

• By adding the terms

• By multiplying the terms

What happens to the x-squared terms during subtraction in the first example?

• They remain unchanged

• They are added

• They are multiplied

• They cancel out

What is the remainder when dividing x^2 + 4x - 5 by x + 1?

• -8

• -5

• 0

• 8

How is the remainder expressed in the final answer of the first example?

• As a whole number

• As a fraction over the divisor

• As a decimal

• It is ignored