Polynomials

What is the remainder of  (3x³ -5x² -4x +1) ÷ (x + 3)?

• -25
• 25
• 113
• -113

Tags

CCSS.HSA.APR.B.2

What is the remainder when      a³ - 4 is divided by a+2? 

• -2
• -6
• -12
• 0

Tags

CCSS.HSA.APR.B.2

Factor: x⁶-x⁴-25x²+25

• (3x-1)(x+1)(x²-5)(3x²+5)
• (x-1)(x+1)(x²-5)(x²+5)
• x(x-1)(x²-5)(x²+5)
• (x-1)(x+3)(x²-5)(2x²+5)

Tags

CCSS.HSA.APR.C.4

Factor: x² - 169 

• ( x - 13) ( x + 13) 
• ( x + 13) ( x + 13) 
• ( x - 13) ( x -13) 
• x - 13x + 13

Tags

CCSS.HSA.APR.C.4

Which of the following is a factor of
f(x) = x³-3x²-6x+8  ?

• x-4
• x+1
• x-2
• x+3

Tags

CCSS.HSA.APR.B.2

Solve x³ - 3x² - 2x + 4 = 0

• x = -1, 1 ± √5
• x = 1, 1 + √5
• x = 2, 1 ± √5
• x = 1, 1 ± √5

Tags

CCSS.HSA-REI.B.4B

Use a graphing calculator to find a relative maximum of the following:
f(x) = x³ + 3x² - 6x - 6

• x = 0.73
• x = -2.73
• x = -3.24
• x = 1.45

Identify the increasing interval:

• (-∞, 1) U (3, ∞)
• (-∞, 4) U (3, ∞)
• (-∞, 1) U (0, ∞)
• (-5, 4) U (3, 5)

Identify the decreasing interval:

• (-∞, 1) U (3, ∞)
• (1, 3)
• (-∞, 1) U (0, ∞)
• (1,4) U (3,0)

The expression (x-7) is a factor of 8x²-49x+k. What is the value of k?

• -49

• 49

• 7

• -7

Tags

CCSS.HSA.APR.B.2