Finding Real and Complex Roots of Polynomials

Find all the real-number roots for the function below. Use any method you like. f(x)=18x⁴+3x³−17x²+17x−55

• x = 1, -5/2, 2 +- √7 / 3

• x = 1, -3/2, 3 +- √5 / 2

• x = 1, -1/2, 4 +- √3 / 5

• x = 2, -5/2, 5 +- √7 / 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

What are the zeros of the function?

• 4,1

• 3,1,-2,-5

• -3, -1, 2, 5

• -2,4

Find all the real-number roots for the function below. Use any method you like. f(x)=6x³−17x²+11x−2

• x = ½, ⅓, 2

• x = ¾, ½, 1

• x = ⅙, ⅚, 2

• x = 1, 2, 3

• 2
• 1
• 4
• None

• None
• 1
• 2
• 4

Factor:
 x³-12x²+47x-60=0 when 5 is a root.

• (x-3)(x-4)(x-5)=0

• (x+1)(x-4)(x-5)=0

• (x-3)(x-4)(2x-5)=0

• (x-5)(x-4)(x-5)=0

How many zeros does the following function have?
f(x)= x⁵ - 3x³ + x

• 8

• 9

• 5

• 3

Find a polynomial function of degree 3 that has zeroes at
x=1, 2, and 3

• x³ - 6x² + 11x - 6

• x³ - 11x² - 6x - 6

• x³ - 6x² - 6x - 6

• x³ - 11x² - 11x - 11