Graphing Polynomials

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)

• A
• B
• C
• D

• y=-(x+1)(x-2)(x-4)
• y=(x+1)²(x-3)(x-1)³
• y = 3x³ – 2x + 1
• y=(x+1)³(x-3)(x-1)²

Use synthetic division to find the zeros. Write your final answer in factored form.
x⁴+2x³-17x²-18x+72
with zeros at 2 and -4

• (x-2)(x+4)(x-3)(x-3)
• (x+2)(x-4)(x+3)(x+3)
• (x-2)(x+4)(x-3)(x+3)
• (x+2)(x-4)(x+3)(x-3)

Find all the factors of   x³ -3x² -4x +12 given that -2 is a zero.

• (x-2) (x+2) (x+3) 
• (x-2) (x-2) (x+3)
• (x+2) (x+2) (x+3)
• (x-2) (x+2) (x-3)

What are the linear terms of the polynomial function?

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

Find all the real zeros of the function 
f(x) = 2x³ - 19x² + 38x + 24 given that x-4 is a factor.

• x = 1/2, -6
• x = -1/2, 6
• x = 4, -1/2, 6
• x = -4, 1/2, -6

If x=3 is one of the zeros, find all zeros for the polynomial function P(x)= x³ -3x²-5x+15

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

If x=3 is one of the zeros, find all zeros for the polynomial function P(x)= x³ -3x²-5x+15

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

Is the graph shown have an even or odd degree  Is the leading coeffiecient positive or negative?

• Even (-)
• Odd (+)
• Even (+)
• Odd (-)