Division of Polynomials

Dividing Polynomials by Monomials

First let us set the mood

Multiple Choice

3x(2x² + 9x + 6)

• 6x³ + 27x² + 18x

• 6x³ + 18x² + 9

Multiple Choice

5x(4x³ + 8)

• 9x⁴ + 40x

• 20x⁴ + 40x

Multiple Choice

x(x+4)

• 2x+4

• x²+4x

• x²+4

This can be a little complicated

• Please pay attention

• Ask Questions as soon as they arise.

Lets Try Two

Your turn for one question

Multiple Choice

• 5w ² − 4w + 3

• 12w ² − 9w + 6

• 12w ² − 12w + 9

• 5w ² − 12w+ 9

Multiple Choice

Divide the polynomial by the monomial.

• 15x⁹ - 8x³

• 3x⁶ - 8x³

• -5x¹²

• 3x⁶ - 40x³

Anyone else feel like this

ANY QUESTIONs

Lets Try 4 questions just to make sure.

Multiple Choice

$$\frac{18y^{6\ }+9y^{4\ }-12y^2}{3y^2}$$  

• $$6y^2\ +3y^2\ -4y^2$$  

• $$15y^{4\ }+6y^2\ -\ 9$$  

• $$6y^{4\ }+3y^2-4$$  

• $$6y^{3\ }-3y^2\ +4y$$  

Multiple Choice

$$\frac{\text{3}x^2-2xy}{\text{2x}}$$  

• $$1.5x^{3\ }-x^2y$$  

• $$1.5x\ -\ y$$  

• $$1.5x\ +\ y$$  

• $$1.5x\ -\ 2y$$  

Multiple Choice

Divide 8x² -4x + 12  by 2x

• 4x+2

• 4x-2+6/x

• 4x-2

• 4x-2+1/(6x)

Multiple Choice

Divide the polynomial by the monomial.

• 15x⁹ - 8x³

• 3x⁶ - 8x³

• -5x¹²

• 3x⁶ - 40x³

​AGAIN. . . .

Multiple Choice

Divide the polynomial by the monomial.

• 2x⁸-8x²-28x

• 2x⁸-2x²-7x

• 8x⁷-8x-28x

• 2x⁷ -2x -7

Multiple Choice

Divide the polynomial by the monomial.

• 15x⁹ - 8x³

• 3x⁶ - 8x³

• -5x¹²

• 3x⁶ - 40x³

Multiple Choice

• -5x¹⁰

• 4x⁴ + 18x⁶

• -6x⁴ + 16x²

• 4x⁴ - 9x²

Multiple Choice

• 5w ² − 4w + 3

• 12w ² − 9w + 6

• 12w ² − 12w + 9

• 5w ² − 12w+ 9

Multiple Choice

Divide:
(9x² + 6x)  ÷ 3x

• 3x + 2

• 3x² + 2x

• 5x²

• 3x + 6

Multiple Choice

Divide 8x² - 4x + 12  by 2x

• 4x+2

• 4x-2+6/x

• 4x-2

• 4x-2+1/(6x)

Multiple Choice

Divide 16x⁴ + 8x³ - 4x² by 4x²

• 12x² + 4x

• 12x² + 4x - 1

• 4x² + 2x - 1

• 4x² + 2x

Multiple Choice

$$\frac{\text{3}x^2-2xy}{\text{2x}}$$  

• $$1.5x^{3\ }-x^2y$$  

• $$1.5x\ -\ y$$  

• $$1.5x\ +\ y$$  

• $$1.5x\ -\ 2y$$  

Multiple Choice

$$\frac{6a^3b^2c^{4\ }-\ 8a^2b^2c}{2a^2bc}$$  

• $$3abc\ -\ 4abc$$  

• $$3abc^{3\ }-\ 4b$$  

• $$3a^3b^2c^{4\ }-\ 4b$$  

• $$3abc\ +4b$$  

Multiple Choice

$$\frac{18y^{6\ }+9y^{4\ }-12y^2}{3y^2}$$  

• $$6y^2\ +3y^2\ -4y^2$$  

• $$15y^{4\ }+6y^2\ -\ 9$$  

• $$6y^{4\ }+3y^2-4$$  

• $$6y^{3\ }-3y^2\ +4y$$  

Multiple Choice

Evaluate the expression using the quotient rule.

• x¹³

• x⁵

• x³⁶

• x^-5

Multiple Choice

Simplify $$\frac{10x^8y^5}{4x^2y^5}$$  

• $$6x^6y$$  

• $$\frac{5x^6}{2}$$  

• $$\frac{5x^6y}{2}$$  

• $$6x^6$$