Polynomial Long Division Lesson Slides: 6 Slides

6 Slides • 4 Questions

1

Multiple Choice

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

1

$91y^2x^2$

2

$96y^2x^2$

3

$-16yx^3$

4

$95y^2x^2$

2

Dividing Polynomials

How can I divide polynomials?

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

3

Simplify using long division.

How can I divide polynomials?

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

4

Fill in the Blanks

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

$\frac{3021}{8}$

Type answer...

5

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.

6

Simplify using long division.

How can I divide polynomials?

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

7

Multiple Choice

Simplify using long division.

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

1

$8b^2-2b-2-\frac{9}{b-2}$

2

$8b^2-2b-3-\frac{4}{b-2}$

3

$8b^2-2b-3-\frac{7}{b-2}$

4

$8b^2-b-3-\frac{4}{b-2}$

8

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!

9

Multiple Choice

Simplify using long division.

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

1

$x^3+2x^2-3x+2-\frac{1}{x-2}$

2

$x^3+2x^2-4x+1+\frac{1}{x-2}$

3

$x^3+2x^2-4x$

4

$x^3+2x^2-4x+\frac{4}{x-2}$

10

Homework

"Polynomial Long Division Practice" on Canvas

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

1

$91y^2x^2$

2

$96y^2x^2$

3

$-16yx^3$

4

$95y^2x^2$

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