Polynomial Long Division

Multiple Choice

Find the third term in the expansion of $$\left(4y-x\right)^4$$  

• $$91y^2x^2$$  

• $$96y^2x^2$$  

• $$-16yx^3$$  

• $$95y^2x^2$$  

Dividing Polynomials

How can I divide polynomials?

​

​

MGSE9-12.A.APR.6 Rewrite simple rational expressions in different forms using long division.​

​

​Simplify using long division.

How can I divide polynomials?

MGSE9-12.A.APR.6 Rewrite simple rational expressions in different forms using long division.​

​

Fill in the Blank

What is the remainder when you use long division to solve the following?

$$\frac{3021}{8}$$  

​Simplify using long division.

​Long division of polynomials is similar to long division of numbers.

​

​A few important things:

(1) Line up like terms on top of each other.

(2) Only divide by the leading term of the outside polynomial.

​(3) Your answer will be written as:

How can I divide polynomials?

MGSE9-12.A.APR.6 Rewrite simple rational expressions in different forms using long division.​

​

​Simplify using long division.

How can I divide polynomials?

MGSE9-12.A.APR.6 Rewrite simple rational expressions in different forms using long division.​

​

Multiple Choice

Simplify using long division. 

$$\left(8b^3-17b^2-b+2\right)\div\left(b-2\right)$$  

• $$8b^2-2b-2-\frac{9}{b-2}$$  

• $$8b^2-2b-3-\frac{4}{b-2}$$  

• $$8b^2-2b-3-\frac{7}{b-2}$$  

• $$8b^2-b-3-\frac{4}{b-2}$$  

​Simplify using long division.

How can I divide polynomials?

MGSE9-12.A.APR.6 Rewrite simple rational expressions in different forms using long division.​

​

​Fill in zeros in the dividend when needed!

Multiple Choice

Simplify using long division.

$$\left(x^4-7x^2+8x-5\right)\div\left(x-2\right)$$  

• $$x^3+2x^2-3x+2-\frac{1}{x-2}$$  

• $$x^3+2x^2-4x+1+\frac{1}{x-2}$$  

• $$x^3+2x^2-4x$$  

• $$x^3+2x^2-4x+\frac{4}{x-2}$$  

​Homework

"Polynomial Long Division Practice" on Canvas​