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Factor completely. 33. ax2-11ax 18a 35. 3x2 14x -5 Solve each problem 37. In 201

ID: 3168650 • Letter: F

Question

Factor completely. 33. ax2-11ax 18a 35. 3x2 14x -5 Solve each problem 37. In 2012 the total income for the 3131 × 108 people in the 34. m -m United States was 1.304 × 10 13 dollars (U.S. Census Bureau, www.census.gov). What was the per capita income? 38. If an investment of SP appreciates to SA after n years, then the value of the expression (A/P)I/m - 1 is the annual apprecia- tion rate. A couple paid $1.3 million for a house with a view of the Golden Gate Bridge and sold the house three years later nunl annreciation rate.

Explanation / Answer

33) ax^2 - 11ax + 18a

= ax^2 - 9ax - 2ax + 18a

factor by grouping

ax ( x - 9 ) -2a ( x - 9 )

factors are (ax - 2a ) ( x - 9)

34) m^5 - m

taking out gcf m

m ( m ^4 - 1 )

m ( m^2 -1 ) ( m^2 + 1)

factors are m (m-1) (m+1) (m^2 +1 )

35) 3x^2 + 14x - 5

3x^2 + 15x - 1x - 5

3x ( x + 5 ) -1 ( x+5)

factors are (3x-1 )(x+5)