Question

question 17 (5 points)
which of the following lists the roots of (f(x) = x^3 + x^2 + 3x + 3)?
a) (x = \pm 1.73, -1)
b) (x = \pm 1.73, 1)
c) (x = \pm 1.73i, 1)
d) (x = \pm 1.73i, -1)

question 18 (5 points)
the graph is that of a fourth-degree polynomial function. which of the following correctly shows three factors of the function?
a) ((x + 3)(x - 2)(x - 5))
b) ((x + 2)(x - 5))
c) ((x - 3)(x + 5))
d) ((x - 3)(x + 2)(x + 5))

Explanation:

Analyze Question 17

Using the Finding Real Roots of Polynomials knowledge point

$$
LATEXBLOCK0
$$

Analyze Question 18

Using the Zeros of a Function knowledge point

$$
LATEXBLOCK1
$$

Answer:

Question 17

• A) \(x = \pm 1.73, -1\)
• B) \(x = \pm 1.73, 1\)
• C) \(x = \pm 1.73i, 1\)
• D) \(x = \pm 1.73i, -1\) (Correct answer)

Question 18

• A) \((x + 3)(x - 2)(x - 5)\) (Correct answer)
• B) \((x + 2)(x - 5)\)
• C) \((x - 3)(x + 5)\)
• D) \((x - 3)(x + 2)(x + 5)\)