Dividing Polynomials with Long Division Techniques

What is the first step in basic long division?

• Determine how many times the divisor fits into the first part of the dividend

• Subtract the divisor from the dividend

• Multiply the divisor by the dividend

• Add the divisor to the dividend

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

• Divide the result by the quotient

• Add the result to the dividend

• Subtract the result from the dividend

• Multiply the result by the divisor

What is the first step in polynomial long division?

• Determine what to multiply the divisor by to get the first term of the dividend

• Multiply the divisor by the first term of the quotient

• Subtract the polynomials

• Add the polynomials

When performing polynomial long division, what must you remember to do when subtracting?

• Add the terms

• Distribute the negative sign

• Multiply the terms

• Divide the terms

In the first example, what is the quotient of (x^2 - 5x - 24) divided by (x + 3)?

• x - 3

• x - 8

• x + 8

• x + 3

In the second example, what do you multiply x by to get 2x^2?

• 2

• 2x

• x

• x^2

What is the quotient of (2x^2 + 7x - 30) divided by (x + 6)?

• 2x + 5

• 2x - 5

• 2x + 6

• 2x - 6

In the third example, what do you multiply x by to get 3x^3?

• 3x

• x^2

• 3x^2

• 3

What is the quotient of (3x^3 - 8x^2 - 25x + 36) divided by (x - 4)?

• 3x^2 + 4x - 9

• 3x^2 - 4x + 9

• 3x^2 - 4x - 9

• 3x^2 + 4x + 9

In the geometry application, what is the width if the area is 18x^5 + 12x^4 - 15x - 10 and the length is 3x + 2?

• 6x^4 - 5

• 6x^5 + 5

• 6x^4 + 5

• 6x^5 - 5