1001 Algebra Problems.PDF

(Marvins-Underground-K-12) #1

  • POLYNOMIAL EXPRESSIONS–


447.Which of the following is a complete list of
zeros for the polynomial 2x^2 (16 + x^4 ) +
3 x(16 + x^4 ) + (16 +x^4 )?
a.–1, –^12 , 2, and –2
b.–1 and ^12 
c.1 and –^12 
d.–1 and –^12 


448.Which of the following is a complete list of
zeros for the polynomial 18(x^2 + 6x+ 8) –
2 x^2 (x^2 + 6x+ 8)?
a.2, 3, and 4
b.–4, –2, –3, and 3
c.–2, –3, and 4
d.–2, –3, and 4


Set 29 (Answers begin on page 197)


This problem set focuses on solving polynomial
inequalities.


449.Which of the following is the solution set for
x^2 – 360?
a.(6,∞)
b.(–∞,–6)∪(6,∞)
c.(–∞,–6]∪[6,∞)
d.the set of all real numbers


450.Which of the following is the solution set for
9 x^2 – 25 0?
a.(–^53 ,^53 )
b.[–^53 ,^53 ]
c.(–∞,–^53 )∪(^53 ,∞)
d.the empty set


451.Which of the following is the solution set for
5 x^2 + 490?
a.(–∞,–^459 )
b.(–∞,0)
c.the empty set
d.the set of all real numbers


452.Which of the following is the solution set for
6 x^2 – 24 0?
a.(–∞,–2]∪[2,∞)
b.(–∞,–2)∪(2,∞)
c.( 2 ,∞)
d.[–2,2]

453.Which of the following is the solution set for
5 x(2x+ 3) – 7 (2x+ 3)0?
a.(–∞,–^32 )∪(^75 ,∞)
b.(–∞,–^32 ]∪[^75 ,∞)
c.(–^32 ,^75 )
d.[–^32 ,^75 ]

454.Which of the following is the solution set for
5 x(^23 x+ 7) – (^23 x+ 7) 0?
a.(–^221 ,^15 )
b.[^15 ,∞)
c.[–^221 ,^15 ]
d.(–∞,–^221 )∪(^15 ,∞)

455.Which of the following is the solution set for
28 x(5 – x) – 7x^3 (5 – x) 0?
a.(–∞,–2]∪[0,2]∪[5,∞)
b.[–2,0]∪[2,5]
c.(–∞,–2]∪[–2,0]∪[5,∞)
d.the set of all real numbers

456.Which of the following is the solution set for
75 x^4 + 30x^3 + 3x^2 0?
a.(–∞,0)
b.(–^15 ,0)
c.{–^15 ,0}
d.the empty set
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