Re-Take Unit 3: Solving Polynomials

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

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

• x=-5, 10, -3

• x= 5 , -10 , -3

            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. 

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

Find the zeros of the polynomial.
f(x) = (x-5)(2x+3)(7x-4)(x+6)

• x = 5, (2/3), 6, (7/4)
• x= -5, (3/2), (-4/7), 6
• x= 5, (-3/2), (4/7), -6
• x= 6, 5, -2/3, -4/7

What are the zeros of the function?

• 4,1
• 3,1,-2,-5
• -3, -1, 2, 5
• -2,4

Find all rational zeros, one zero has been given.
f(x) = x³-5x²-2x+24;   -2

• -2,1,0
• -2,-3,-4
• 4,3,-2
• 0,0,0

One zero of 3x³-4x²-28x-16 is 4.
What is another zero?

• 8
• -2
• 6
• 1

Use the Rational Root Theorem to list the possible rational zeros.

• A
• B
• C
• D

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 2x³ + 5x² - 9x + 5

• ±1, ±5, ±1/2, ±5/2
• ±1, ±2, ±5, ±1/2, ±5/2
• ±1, ±5
• ±1, ±2, ±5, ±1/2, ±5/2, ±2/5