Chapter 2 Review Pre-Calc 21-22

The degree of the polynomial determines the max number of roots.

• True

• False

List the possible rational zeros of

f(x) = x³ - 4x² -4x + 16

• 1, 2, 4, 8, 16

• -2 and-4

            Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.
• No, (x-2) is  not a factor. The remainder is zero.
• Yes, (x-2) is a factor. The remainder is zero.
• No, (x-2) is  not a factor. There is a remainder. 

Is this division problem worked correctly?

• This is correct!
• This is incorrect!

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)

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

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

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

• 6, 3, -3
• -6, 3, -3
• -6, 3i, -3i
• 6, 3i, -3i

Write a polynomial function, in standard form, with zeros x=4 and 7i.

Find all real solutions of the polynomial equation x³ - x² - 7x + 3 = 0

• x = 3, ± √2
• x = -3, -1 ± √2
• x = -1 ± √2
• x = 3, -1 ± √2

Using the Remainder Theorem, what is the remainder when  a³ - 4 is divided by a+2? 

• -2
• -6
• -12
• 0