295. What is
296. What is
Operating with Factorials
297–300 Evaluate the factorial expressions.
297. 3!
298.
299.
300.
Focusing on Function Notation
301–310 Evaluate the functions for the input value given.
301. If
302. If
303. If
304. If
305. If
306. If
307. If
308. If
309. If
310. If
Chapter 7
Multiplying by One or More Terms
Multiplying algebraic expressions is much like multiplying numbers, but the introduction of variables makes the process just a bit more interesting. Products involving variables call on the rules of exponents. And, because of the commutative property of addition and multiplication, arrangements and rearrangements of terms and factors can make the process simpler.
The Problems You’ll Work On
When multiplying by one or more terms, you deal with the following in this chapter:
Distributing terms with one or more factors over two or more terms — multiplication over sums and differences
Distributing division over sums and differences and dividing each term in the parentheses
Distributing binomials over binomials or trinomials and then combining like terms
Multiplying binomials using FOIL: First, Outer, Inner, Last
Using Pascal’s triangle to find powers of binomials
Finding products of binomials times trinomials that create sums and differences of cubes
What to Watch Out For
With all the distributing and multiplying, don’t overlook the following:
Applying the rules of exponents to all terms when distributing variables over several terms
Changing the sign of each term when distributing a negative factor over several terms
Combining the outer and inner terms correctly when applying FOIL
Starting with the zero power when assigning powers of the second term to the pattern in Pascal’s triangle
Distributing One Term Over Sums and Differences
311–315 Distribute the number over the terms in the parentheses.
311.
312.
313.
314.
315.
Distributing Using Division
316–320 Perform the division by dividing each term in the numerator by the term in the denominator.
316.
317.
318.