Solving polynomials

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4?

• 4
• 7
• 2
• 1

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

List all possible rational zeros
f(x) = 3x³ + 2x² - 6x + 7

• ±1, ±7, ±1/3, ±7/3
• ±1, ±7
• ±1, ±3, ±7, ±7/3
• ±1, ±3, ±7, ±1/3, ±7/3

List all possible rational zeros
f(x) = 3x⁵-5x²+x+6

• 1, 2, 3, 6, -1, -2, -3, -6
• 1/3,2/3,1,2,3,6,-1/3,-2/3,-1,-2,-3,-6
• 1/3,2/3,1,2,3,6
• 1/3,1,2,3,6,12, 18, -1/3,-1,-2,-3,-6, -12, -18

(x² + 9x + 18) ÷ (x + 3) = 

• x - 6
• x + 9
• x - 9
• x + 6

What is the quotient when (10n² - 37n - 12) is divided by (n - 4)?

• (10n - 3)
• (3n - 10)
• (10n + 3)
• (3n + 10)

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)

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