IM3: Polynomial Functions, Factors, and Division 2018

List the roots of the polynomial.
f(x)=(x+4)³(x-2)² (x-5)

• Roots:   4, 2, 5
• Roots:  -4, 2, -5
• Roots:  -4, 2, 5
• Roots: -4,-2, -5

Tags

CCSS.HSF-IF.C.7C

Pick all statements that apply to this polynomial.

• It is an odd degree function.

• It is an even degree function.

• It has a positive leading coefficient.

• It has a negative leading coefficient.

• It has 3 real roots.

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

Decide if (x-3) is a factor of 3x³+10x²-x-12

• Yes, it is a factor!
• No, it is not a factor!

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

2x³ - 5x² + 3x + 7 ÷ x - 2

• 2x³ - x² + x + 9
• 2x² - x + 1
• 2x² - x + 1 + 9/x-2
• 2x² - 9x - 15 - 23/x-2

Tags

CCSS.HSA.APR.D.6

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

Solve b⁴+2b²-24=0

• 
• 
• 
• 

Tags

CCSS.HSA-REI.B.4B

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)
• (9x + 2)(3x² + 18x + 4)
• (3x²+4)(9x + 2)
• (27x + 8)(x² - 216x + 64)

Tags

CCSS.HSA.APR.C.4

Identify the increasing interval:

• (-∞, -0) U (-8, 0)
• (-10, -6) U (-8, 2)
• (-∞, -6) U (-2, 2)