Polynomial Functions SBAC Practice

• No
• Yes

• -5
• -3
• 0
• 2
• 6
• 5
• 3
• -2
• -6

p is a third degree polynomial.  The graph of y = p(x) is shown.  Select one or more intervals with consecutive integer endpoints that contain the solution(s) of the equation 2 = p(x) 

Answer explanation

Answer: [-2, 0] and [2, 4]

Complete the following statements:

The graph of y = x³ (x - 3) has exactly ​ (a)   distinct x-intercepts at ​ (b)   ,​ (c)   ,​ (d)   and​ (e)   . The degree of this polynomial is 3.

• 4
• 0
• 2
• 3
• 1
• 5

Complete the following statements:

The graph of y = x² (x - 2)(x - 1) has exactly ​ ​ (a)   distinct x-intercepts at ​ 0,​ (b)   ,​ (c)   ,​ (d)   , and​ (e)   . The degree of this polynomial is 2.

• 5
• 1
• 2
• 3
• 4
• 0

Complete the following statements:

The graph of y = x² (x - 2)(x - 1) has exactly ​ ​ (a)   distinct x-intercepts at ​ 0,​ (b)   ,​ (c)   ,​ (d)   , and​ (e)   . The degree of this polynomial is 2.

• 5
• 1
• 2
• 3
• 4
• 0

Complete the following statements:

The graph of y = (x - 3) (x - 2)(x - 1) has exactly (a)   distinct x-intercepts at ​ ​ ​ (b)   ,​ (c)   ,​ and​ ​ (d)   . The degree of this polynomial is ​ (e)   .

• 3
• 2
• 1
• 0
• -3
• -2
• -1

Complete the following statements:

The graph of y = x(x - 3)(x - 2)(x - 1) has exactly (a)   distinct x-intercepts at ​ ​ ​ ​ (b)   ,​ ​ (c)   ,​ ​ (d)   and​ ​ (e)   . The degree of this polynomial is ​ 1 .

• 4
• 0
• 3
• 2
• 1
• -3
• -2
• -1

The function f models the amount  of a chemical that can be extracted from a mixture given the percent of ethanol used in the extraction process, x,

for 0 ≤ x ≤ 100.  

What is the maximum value for this function? 

 f(x) = -0.002x³ + 0.255x² - 4.5x + 165

• (0, 165)

• (10, 144)

• (114, 0)

• (75, 418)

• No
• Yes