Question

x - a is the factor of a polynomial p(x) if p(a) is equal to

a) 1
b) 3
c) 0
d) 2

question 20 (5 points)

consider points a, b, and c in the graph. determine which of these points is relative maxima on the interval x = -1 and x = 1 in the graph.

a) a
b) a and b
c) c
d) c and b

Explanation:

Apply the Factor Theorem

Using the Polynomial Remainder Theorem knowledge point

$$ \text{If } x - a \text{ is a factor of } P(x), \text{ then } P(a) = 0. $$

Identify the interval and points

Using the Relative Extrema knowledge point

$$
LATEXBLOCK0
$$

Determine the relative maximum

Using the Relative Extrema knowledge point

$$
LATEXBLOCK1
$$

Answer:

Question 1

• (A) 1
• (B) 3
• (C) 0 (Correct answer)
• (D) 2

Question 2

• (A) a (Correct answer)
• (B) a and b
• (C) c
• (D) c and b