Cubic Polynomials

Factor by grouping:
4p³ + 8p² + 3p + 6

• (2p² + 3)(p + 2)

• (2p² + 6)(p + 4)

• (4p² + 3)(p + 2)

• (4p² + 8p)(3p + 6)

Factor:

20x³ - 25x² + 4x - 5

• (5x² - 5)(4x + 1)

• 5(x² - 1)(4x + 5)

• (5x² + 1)(4x - 5)

• (5x² + 1)(4x - 1)

x³ - 5x² + 5x - 25

• (x² - 5)(x - 5)

• (x² + 5)(x - 5)

• (x² + 5)(x + 5)

• (x² - 1)(x - 25)

Factor by grouping
x³ - 4x² -4x + 16

• (x+4)(x+2)

• (x-4)(x² -4) 

• (x+4)(x² -4)

• (x-4)(x-2)

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

How many roots are shown in the picture?

• 0

• 1

• 2

• 3

Tags

CCSS.HSF-IF.C.7C

Identify the zeros

• x=2, x=6, x=-4

• (x+2)(x+6)(x-4)

• (x-2)(x-6)(x+4)

• x=-2, x=-6, x=4

• y =  ^_(x + 2)(x - 1)²
• y = -(x - 2)(x + 1)²
• y = (x - 2)(x + 1)²
• y = -x³

Which graph is generated by this equation?

y=(x+1)³

• 
• 
• 
• 

What are the zeros of the function?

• 4,1

• 3,1,-2,-5

• -3, -1, 2, 5

• -2,4