Pre-Algebra : Multiplying and Dividing Polynomials
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Example Questions
Example Question #41 : Polynomials
Simplify this expression:
First factor each equation fully to see if there are terms that can cancel out:
Cancel terms:
Simplify exponents:
Example Question #51 : Polynomials
Simplify the polynomial.
Variables without any exponents have an invisable 1 as their exponent.
Example Question #52 : Polynomials
Simplify:
The expression is already simplified.
In order to simplify this, we need to rewrite the numerator by factorization.
To factor the numerator, we need to look at the factors of the integer value. The factors of the integer value when added together should result in the middle term of the polyinomial. In this particular case there is no middle term therefore, we are looking for a factor that when added together results in a zero term. This is also known as the differences of squares.
Cancel the terms in the numerator and denominator.
The correct answer is:
Example Question #53 : Polynomials
Simplify:
In order to divide this polynomial, it is necessary to factor out the numerator.
To factor this polynomial find the two factors of the integer term, 
This particular type of polynomial is known as the difference of perfect squares.
Example Question #54 : Polynomials
Multiply:
Use the distributive property to expand this expression. When powers of similar bases are multiplied, their powers can be added.
Example Question #55 : Polynomials
Multiply:
Use the distributive property to expand the expression.
Example Question #56 : Polynomials
Multiply:
Use the FOIL method to simplify. FOIL stands for the finding the product of polynomials by multiplying their First, Outer, Inner, and Last terms together.
Firsts:
Outers:
Inners:
Lasts:
Multiply out each term and adding them results in the final polynomial.
Remember when multiplying like bases you add their exponents.
Example Question #57 : Polynomials
Multiply:
Use the FOIL method to expand the terms.
Multiply out each term.
Combine like-terms and write out the expanded form.
The answer is:
Example Question #58 : Polynomials
Solve the equation below.
When dividing with exponents that have different bases, divide the bases then subtract the exponents.
Example Question #59 : Polynomials
Multiply the polynomials and simplify.
To figure out the solution to this problem is to simply multiply the integers normally so
The rule to multiply the same variables with exponents is to add the exponents together. For example,
So,
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