Find the linear factorization of the polynomial and find all roots of the polynomial. f(x) = x3 + 6x2 + 7x + 42
A. f(x) = (x + 1)(x + i
)(x - i
), roots: -1, ± i
B. f(x) = (x + 6)(x + i
)2, roots: -6, ± i
C. f(x) = (x + 6)(x + i)(x - i
), roots: -6, ± i
D. f(x) = (x + 6i)(x + 
)2, roots: -6i, ± 
Answer: C
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Find the largest open interval where the function is changing as requested.Increasing y = 7x - 5
A. (-5, 7) B. (-?, ?) C. (-5, ?) D. (-?, 7)
Solve the problem.Find the image of the given figure under the translation that takes P to P'.
A. 
B. 
C. 
D. 
For each graph of a quadratic function 
a) Tell whether a is positive or negative,b) Determine the vertex,c) Determine the axis of symmetry, andd) Determine the range.
A. Negative; (0, -1); x= 0; (-?, -1] B. Positive; (0, 1); x= 0; (-?, 1] C. Negative; (0, 1); x= 0; (-?, 1] D. Positive; (0, 1); x= 0; [1, ?)
Factor.27a3 - 125b3
A. (3a - 5b)(9a2 + 25b2) B. (3a + 5b2)(9a2 - 15ab + 25b2) C. (27a - 5b)(a2 + 15ab + 25b2) D. (3a - 5b)(9a2 + 15ab + 25b2)