If P(x) is a polynomial in x, then P(r) = 0 if and only if __________ is a factor of P(x).
A. -r - x
B. x + r
C. x - r
D. r - x
Answer: C
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Find the rectangular coordinates for the point for which the polar coordinates are given.
A. (6, 6
)
B. (6, -6
)
C. (-6, 6
)
D. (-6, -6
)
Solve. A science student watching a group of ants moving along a straight line determines that their position along the line at time t is given by the polynomial Factor the polynomial.
A. t(t3 + 3t2 - 13t + 39) B. t(t2 + 3t - 26) C. t(t3 + 3t2 + 26t) D. t(t2 + 3t + 26)
LetU = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}Determine the following. (A' ? C) ? B'
A. {r, t, u, v, w, s, y, z} B. {r, t, v, w, x} C. {y, z} D. {v, x}
Find a function P(x) of least possible degree, having real coefficients, with the given zeros.1 + , 1 -
, 1 + i
A. P(x) = x4 + 3x3 + 4x2 - 1 B. P(x) = x4 + 6x3 + 4x2 - 4 C. P(x) = x4 - 6x3 + 8x2 - 4 D. P(x) = x4 - 4x3 + 4x2 - 4