Polynomials: Finding Zeros/Roots/Solutions

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

Find the zeros of the polynomial given one factor.

• X= 3,4,5

• x=-3,-4,-5

• x=-3,4,5

• x= 3, -4, -5

Given one complex zero use the conjugate root theorem to find another.  Zero is 7-5i

• -7+5i

• 7-5i

• -7-5i

• 7+5i

Find the roots of 0=x³-4x²+2x-8

• ±2,4

• ±2i,4

• ±i√2,4

• ±√2,4

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

How could you determine    if x-2 is a factor of 2x³-5x²+x-2?

• Use synthetic division and see if the quotient is even

• Ask the person sitting next to me

• Use synthetic division and see if the remainder is zero

• Flip a coin

Factor f(x)= x³ - 2x²-13x - 10  given that
(x - 5) is one factor.

• (x- 5)(x - 1)(x - 2)

• (x - 5)(x + 2)(x - 2)

• (x - 5)(x + 2) (x + 1)

• (x - 5)(2x - 13)

Find all zeroes given a factor of (x+3).

f(x) = 2x³ + 5x² - 6x - 9

• -1,-3,-3

• -1,-3,3/2

• 3,3,3

• -3,2/3,-1

Use the Fundamental Theorem of Algebra to determine the total number of solutions.

• A

• B

• C

• D

How many total roots/zeros are there in the polynomial.   

• A

• B

• C

• D