Algebra Know-It-ALL

578 Final Exam

(c) One.

(d) None.

(e) We need more information to answer this.

126. Imagine four nonzero real numbers w,x,y, and z such that wx=yz. From this, we can
     conclude that
     (a)w/y=x/z.
     (b)w/z=x/y.
     (c)w/x=y/z.
     (d)z/x=w/y.
     (e) None of the above.


127. When using synthetic division in an attempt to factor a binomial out of a polynomial,
     our goal is to find a “test root” that produces
     (a) a remainder of 0 at the end of the process.
     (b) all 0s in the last line.
     (c) all positive reals in the last line.
     (d) alternating positive and negative reals in the last line.
     (e) all negative reals in the last line.


128. According to the set-based number-building scheme, the natural number 24 is
     (a) {1, 2, 3, ..., 22, 23, 24}.
     (b) {1, 2, 3, ..., 21, 22, 23}.
     (c) {0, 1, 2, ..., 22, 23, 24}.
     (d) {0, 1, 2, ..., 21, 22, 23}.
     (e) {24}.

x

y

Graph of

a quadratic

function

Origin point

(0,0)

Figure FE-12 Illustration for Final Exam

Questions 124 and 125.