Dividing Polyomials by Monomials

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Grade 9: The Learning Equation Math

22.12 Dividing Polynomials by Monomials

2icon.jpg (3565 bytes)

Variables and Equations

Refresher pp 54-5

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Prerequisite Skills:

Find the product of two monomials, a monomial and a binomial, and two binomials.

Represent addition, subtraction, multiplication, and factoring of monomials, binomials, and trinomials of the form x² + bx + c, using concrete materials and diagrams.

Explain and apply the exponent laws for powers with integral exponents.

polynomial, monomial, common factor, dividend, divisor, quotient, remainder

Now examine an example of polynomial divided by a monomial.

divide_poly.gif (47854 bytes)

The following applets create the dividend for you. Arrange the tiles in a rectangle according to the following rules:

Rules

Big squares can't touch little squares.

Little squares must all be together.

Only equal length sides may touch.

You may not lay two equally sized tiles of different size next to each other.

When you have created the appropriate rectangle, the width will be divisor and the length will be the quotient.

Positive Coefficients

Rules:

Big squares can't touch little squares.
Little squares must all be together.
Only equal length sides may touch.
You may not lay two equally sized tiles of different colours next to each other.

Author: Arlen Strader

source: http://www.coe.tamu.edu/~strader/Mathematics/Algebra/AlgebraTiles/AlgebraTiles1.html

Positive and Negative Coefficients

Rules:

Big squares can't touch little squares.
Little squares must all be together.
Only equal length sides may touch.
You may not lay two equally sized tiles of different colours next to each other.

Author: Arlen Strader

source: http://www.coe.tamu.edu/~strader/Mathematics/Algebra/AlgebraTiles/AlgebraTiles2.html