Mary Jane Sterling - Algebra I - 1001 Practice Problems For Dummies (+ Free Online Practice)

341–345 Square the binomials.

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346–350 Raise the binomials to the third power.

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351–360 Raise the binomial to the indicated power.

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361–365 Distribute the binomial over the trinomial to determine the “special” product.

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Chapter 8

Division is the opposite or inverse of multiplication. Instead of adding exponents, you subtract the exponents of like variables. When dividing an expression containing several terms by an expression containing just one term, you have two possible situations: the divisor evenly divides each term, meaning fractions formed from each term and the divisor reduce to denominators of 1, or the divisor doesn’t evenly divide one or more of the terms. What you do with the second situation depends on the application you’re working on at the time. The problems in this chapter present various options.

The problems in this chapter are all about division and include the following:

Dividing several terms by a number

Dividing several terms by a term containing numerical and variable factors

Dividing several terms by a binomial, using long division

Dividing several terms by a binomial, using synthetic division

Dividing by trinomials

As you work through dividing one expression after another, watch out for the following:

Assigning the correct sign to each term in the result

Remembering to change the sign of each term when dividing by a negative term

Changing the signs of all products of quotient term times divisor term in each step of a long division problem

Inserting zeros for missing terms when using synthetic division

Changing the sign of the number in the binomial when setting up a synthetic division problem

Starting with an exponent one smaller than that in the divisor when writing the quotient in a synthetic division problem

366–375 Divide each numerator by the monomial.

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