Operations with polynomials
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This document provides instructions for performing basic operations with polynomials: 1. Addition and subtraction of polynomials involves collecting like terms and adding or subtracting their coefficients. 2. Multiplication of polynomials is done by multiplying each term in one polynomial with each term in the other and collecting like terms. 3. Division of polynomials involves dividing the numerical and literal coefficients of monomials or dividing each term in the polynomial by a monomial divisor.
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- Rules for adding/subtracting integers based on sign
AFS7 Math 3
The document provides instructions for several math concepts:
1. Multiplying integers with the same or different signs. When signs are the same, the product is positive, and when signs differ, the product is negative.
2. Exponents - When multiplying a negative number with an exponent, multiply the base by itself the number of times the exponent indicates and then apply the negative sign.
3. The distributive property - Multiplying numbers both inside and outside parentheses according to the property.
Producion escrita
1) The document discusses various algebraic expressions including addition, subtraction, multiplication, and division of algebraic expressions. It also covers evaluating numeric values of expressions and notable products of algebraic expressions.
2) Notable products are special multiplication cases where the result can be obtained through inspection without calculating step-by-step. Examples include difference of squares and perfect square trinomials.
3) Factorization techniques are described including factoring by difference of squares, perfect square trinomials, and second degree trinomials.
Math 7 lesson 11 properties of real numbers
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recall the different properties of real numbers
write equivalent statements involving variables using the properties of real numbers
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- 2. Addition of polynomials • For adding polynomials you need to follow the following steps: 1. Collect Like terms at one place 2. Add the numerical coefficients of like term 3. Write the sum in both standard and simplest form • For exmple: ( 2a + 3b) + (-4b + 5a) = 7a - b
- 3. Subtraction of polynomials • For subtracting polynomials you need to follow the following steps: 1. Subtract similar terms. To do this, change the algebraic sign of what is to be subtracted and add it to the other. 2. To subtract unlike terms, just write the operation sign – before what is to be subtracted For example: ( -yz) – (–4yz ) = 3yz
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