Provide an appropriate response.For what values of a does the quadratic function f(x) = ax2 - 6x + 3 have no x-intercepts?
A. a > 3
B. a > 9
C. a < 3
D. a < 9
Answer: A
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Write the expression as a logarithm of a single expression. Assume that variables represent positive numbers.3 loga (2x + 1) - 2 loga (2x - 1) + 2
A. loga 2(x + 1)
B. loga 
C. loga (2x + 3)
D. loga (2x + 1) + 2
Use the rational zeros theorem to completely factor the given polynomial P(x).P(x) = 12x4 - 7x3 - 59x2 + 35x - 5
A. (4x - 1)(3x - 1)(x - 
)(x + 
)
B. (3x - 1)(3x + 1)(x - 
)(x + 
)
C. (4x - 1)(4x - 1)(x - 
)(x + 
)
D. (4x + 1)(3x - 1)(x - 
)(x + 
)
Use synthetic division to find the quotient and the remainder.x5 + x2 + 2 is divided by x + 3
A. x4 - 2; remainder 8 B. x4 - 3x3 + 10x2 - 30x + 90; remainder -268 C. x4 - 3x3 + 9x2 - 26x + 78; remainder -232 D. x4 - 2x2; remainder 8
Find the equations of any vertical asymptotes.f(x) = 
A. y = 1, y = -5 B. y = 3 C. x = -1, x = 5 D. x = 1, x = -5