Unit Test — Unit test Answers
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Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?
A
f(x) has two real roots and one imaginary root.B
f(x) has three real roots.C
f(x) has five real roots.D
f(x) has three real roots and two imaginary roots.22
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Which polynomial function has a leading coefficient of 1, roots –2 and 7 with multiplicity 1, and root 5 with multiplicity 2?
A
f(x) = 2(x + 7)(x + 5)(x – 2)B
f(x) = 2(x – 7)(x – 5)(x + 2)C
f(x) = (x + 7)(x + 5)(x + 5)(x – 2)D
f(x) = (x – 7)(x – 5)(x – 5)(x + 2)23
A student factors 10x2 + 3x – 27 to the following. (2x – 3)(5x + 9) Which statement about (2x – 3)(5x + 9) is true?
A
The expression is equivalent, and it is completely factored.B
The expression is equivalent, but it is not completely factored.C
The expression is not equivalent, but it is completely factored.D
The expression is not equivalent, and it is not completely factored.24
The vertex of a parabola that opens downward is at (0, 4). The vertex of a second parabola is at (0, –4). If the parabolas intersect at two points, which statement must be true?
A
The second parabola opens downward.B
The second parabola opens upward.C
The points of intersection are on the x-axis.D
The points of intersection are of equal distance from the y-axis. ✓ Correct25
What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve.
A
x = StartFraction negative 4 plus-or-minus StartRoot 5 EndRoot Over 2 EndFraction
B
x = StartFraction negative 7 plus-or-minus StartRoot 5 EndRoot Over 2 EndFraction
C
x = –7 and x = –2D
x = –1 and x = 4Did you find these answers helpful?
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