Unit 7 Polynomial Functions

Which of the following is a 5th degree trinomial with a leading coefficient of -2? 

• -2x⁵ + 3x - 1
• 5x^-2 +3x - 1
• -2x⁵ + 3x⁴ + 2x³ + x² - 10
• 2x + 5

Tags

CCSS.HSA.APR.A.1

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

• 4
• 7
• 2
• 1

Factor: x⁶-x⁴-25x²+25=0

• (3x-1)(x+1)(x²-5)(3x²+5)=0
• (x-1)(x+1)(x²-5)(x²+5)=0
• x(x-1)(x²-5)(x²+5)=0
• (x-1)(x+3)(x²-5)(2x²+5)=0

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

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

Tags

CCSS.HSA.APR.D.6

(x² + 9x + 18) ÷ (x + 3)

• x - 6
• x + 6 R(0)
• x - 3 + 2/(x + 3)
• x + 6

Tags

CCSS.HSA.APR.D.6

Factor
27x³-64

• (3x-4)(9x²+12x+16)
• (3x-4)(9x²-12x+16)
• (3x+4)(9x²-12x+16)
• (3x+4)(9x²+12x+16)

Tags

CCSS.HSA.APR.C.4

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

Tags

CCSS.HSA.APR.B.3

Factor:
 x³-12x²+47x-60=0 when 5 is a root.

• (x-3)(x-4)(x-5)=0
• (x+1)(x-4)(x-5)=0
• (x-3)(x-4)(2x-5)=0
• (x-5)(x-4)(x-5)=0

Tags

CCSS.HSA.APR.B.2

The polynomial
f(x) = 5x⁴ + 2x³ + 2x − 7 can have, at most, how many solutions?

• 5
• 4
• 3
• 2

Tags

CCSS.HSA.APR.B.2

• 2
• 1
• 4
• None

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11