polynomial functions 5.5-5.8

Write a polynomial in factored form with zeros at x = 1, x = -1 x = 0

• (x - 1)(x + 1)

• x(x - 1)(x + 1)

• x²(x - 1)(x + 1)

• x(x - 1)(x - 1)

Tags

CCSS.HSA.APR.B.3

Write the polynomial with the given zeros

• A

• B

• C

• D

Tags

CCSS.HSA.APR.B.3

If polynomial P(x) is divided by ( 2x - 5 ), with a remainder of -2, is ( 2x - 5 ) a factor of P(x)?

• yes

• no

Tags

CCSS.HSA.APR.B.2

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Find a polynomial function of degree 3 with zeros 3i and -2.

• P(x) = x³+2x²+9x+11
• P(x) = x³-2x²+9x+18
• P(x) = x³+2x²+9x+18
• P(x) = x²-3ix+2x-6i

• A.  (x + 3)(x - 4)
• B. (x - 3)(x + 4)
• C. (x + 3)(x + 4) 
• D. (x - 3)(x - 4) 

• A.  (x + 6)(2x - 7)
• B.  (2x + 5)(x - 6) 
• C. (x - 6)(2x - 5) 
• D. (x + 6)(2x + 7)

A Polynomial of Degree 6 CAN have the following number of imaginary roots:

• 1
• 4
• 3
• 8

Tags

CCSS.HSA.APR.B.3

CCSS.HSN.CN.A.1

How many possible negatives solutions does the following polynomial have?

f(x) = x⁴ - 3x³ - 17x² + 39x -20

• 3 or 1

• 3

• 1

• 2 or 0

How many positive solutions does the following polynomial have?

f(x) =3x⁵ - x⁴ + 3x² - 6x +11

• 4, 2, or 0

• 4

• 3 or 1

• 3