MATH 101: College Algebra Final Exam Review Questions with Comprehensive Rationales (2026/2027)

MATH 101: College Algebra Final
Exam Review

-6-√ =_____________
(a)-2-i√27
(b)-2-i√3
(c)-2+√3
(d)-2+√27 - ANS-(b) -2-i√three

A polynomial of diploma 5 has the subsequent zeros: -3, 4-2i, and 8i. What are the
alternative zeros of the polynomial?
(a) 4+2i and -8i
(b) 4+2i and 8i
(c) 3 and -four-2i
(d) three and -8i - ANS-(b) 4+2i and 8i

Change the exponential equation e^7x=18 into logarithmic form.
(a) ln(18)=ln(7x)
(b) ln(7x)=18
(c) ln(x)=(7)
(d) ln(18)= 7x - ANS-(d) ln(18)=7x

Compared to the graph of f(x)=x^three , the graph of g(x)=x^3+2 is shifted
(a) proper 2 units
(b) down 2 devices
(c) left 2 devices
(d)up 2 units - ANS-(d) up 2 devices

If (2,five) is a factor on the graph of a characteristic f, then its inverse characteristic f^-1 has
the factor:
(a) (-5,-2)
(b) (5,2)
(c) (-2,-five)
(d) (-2,five) - ANS-(b) (five,2)

If log6)x=3 , then x=_______
(a) 729
(b) 216
(c)half
(d) 18 - ANS-(b) 216

Let x=5 and x=-2 be zeros of a polynomial. Which of the subsequent equations has each the
ones zeros as its solutions?