Roots of a Polynomial

Find all the real zeros of the function

y = 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

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

y = 2x³ + 5x² - 6x - 9

• -1,-3,-3

• -1,-3,3/2

• 3,3,3

• -3,2/3,-1

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3
• 2x³ - x² + 3x
• 2x² + 11x + 33 + 108/x+3
• 2x² - 5x + 12

• A
• B
• C
• D

What does it mean to be a factor of a number?

• Divides evenly with a remainder of zero.
• Divides unevenly with a remainder of 1.

Is this division problem worked correctly?

• This is correct!
• This is incorrect!

Is (x-3) a factor of
(x³ - 3x² + 2x + 2)?

• Yes
• No

Find the zeros of the polynomial given one factor. Use synthetic division.

• X= 3,4,5

• x=-3,-4,-5

• x=-3,4,5

• x= 3, -4, -5

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)

(27x³ + 9x² - 3x - 10) ÷ (3x - 2)

• 9x⁴+5

• 9x²+9x+5

• 9x²-9x+5

• 9x²-9x