Factor completely. If the polynomial cannot be factored, write "prime."p6 + q24r18
A. (p + q4r3)(p - q4r3)(p4 - p2q8r6 + q16r12)
B. (p2 + q8r6)(p4 - p2q8r6 + q16r12)
C. (p + q4r3)(p - q4r3)(p2 + pq4r3 + q8r6)(p2 - q4r3 + q8r6)
D. (p3 + q12r9)(p3 - q12r9)
Answer: B
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Simplify the rational expression.
A.
B.
C.
D.
Evaluate the integral by first performing long division on the integrand and then writing the proper fraction as a sum of partial fractions.
A. x2 +
ln
-
+ C
B. x2 -
+ C
C. x2 + ln
-
+ C
D. x2 + ln
-
+ C
Factor the trinomials that are perfect-square trinomials. If it is not a perfect square, respond "not a perfect square."x2 + 12xy + 36y2
A. not a perfect square B. (x - 6y)2 C. (x + 6y)2 D. (x + 6y)(x - 6y)
Provide an appropriate response.Find the roots of the following equation: (3x - 2)(x + 4) = 0
Fill in the blank(s) with the appropriate word(s).