Answer to Question #56453 in Algebra for Oliver Swanick

Question

1: Which of the following is a root of the polynomial shown below?
f(x) = x^3 + 2x^2 – x – 2

A: 2
B: 0
C: 3
D: 1

2: Which of the following represents the set of possible rational roots for the polynomial shown below?
2x^3 + 5x^2 - 8x – 10 = 0

A: {± ½, ± 1, ± 2, ± 5/2, ± 5, ± 10}

B: {½, 1, 2, 5/2, 4, 5, 10, 20}

{± 2/5, ± ½, ± 1, ± 2, ± 2/5, ± 1/5, ± 1/10}

D: {± 1, ± 2, ± 4, ± 5, ± 10, ± 20}

3: Which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?
X^3 – 4x^2 – 7x + 28 = 0

A: one
B: Three or one
C: Two or Zero
D: Two

4: A polynomial has one root that equals 5 – 7i. Name one other root of this polynomial.
Answer: _____

5: If a polynomial has one root in the form a + √b , it has a second root in the form of a ______√b
Answer____