Polynomial Functions

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

Find all zeros for the polynomial function
Factor by grouping and then set = 0 to find zeros.
P(x) = x³ -3x²-5x+15

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

Tags

CCSS.HSF-IF.C.7C

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

Tags

CCSS.HSA.APR.B.3

The polynomial is...

• Odd degree, positive leading coefficient.
• Odd degree, negative leading coefficient.
• Even degree, positive leading coefficient.
• Even degree, negative leading coefficient.

Tags

CCSS.HSA.APR.B.3

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

Tags

CCSS.HSA.APR.B.3

True or False:  If (7x + 4) is a factor of some polynomial function f, then 4/7  is a zero of the function. 

• True
• False

Tags

CCSS.HSA.APR.B.2

Use the quadratic formula to find the solutions for
y = -x² - 5x + 12

• -4.9 and -0.1
• -8.54 and 8.54
• -0.45 and 3.55
• -6.77 and 1.77

Tags

CCSS.HSA.REI.B.4

Use the quadratic formula to find the solutions for
y = 2x² - 9x + 5

• -8.14 and -6.14
• 4.07 and 3.07
• 3.85 and 0.65
• ZERO solutions

Tags

CCSS.HSA-REI.B.4B

Find the vertex of 
f(x) = -x² - 4x + 12.

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Simplify
(3 + i)(1 - 4i)

• 7 - 11i
• 3 - 4i
• 3 - 11i - 4i²
• 2 - 3i

Tags

CCSS.HSN.CN.A.2