Which of these polynomial equations is of least degree and has - 1, 2, and 4 as three of its roots?

A) 5x^2 + 2x + 8 = 0

B) (x + 2) (x - 1) (x + 4) = 0

C) x^3 - 5x2 + 2x + 8 = 0

D) x^4 - x^3 - 5x^2 + 2x + 8 = 0

Question

Woodard

Mathematics

23 January, 07:51

Which of these polynomial equations is of least degree and has - 1, 2, and 4 as three of its roots?

A) 5x^2 + 2x + 8 = 0

B) (x + 2) (x - 1) (x + 4) = 0

C) x^3 - 5x2 + 2x + 8 = 0

D) x^4 - x^3 - 5x^2 + 2x + 8 = 0

+4

Answers (1)

Know the Answer?

Giuliana Copeland · Answer 1

If it has the roots - 1,2, and 4 it is:

(x+1) (x-2) (x-4)

(x^2-x-2) (x-4)

x^3-4x^2-x^2+4x-2x+8

x^3-5x^2_2x+8

Only C is equal to the equation with the roots provided and it is of degree 3

Which of these polynomial equations is of least degree and has - 1, 2, and 4 as three of its roots?A) 5x^2 + 2x + 8 = 0B) (x + 2) (x - 1) (x + 4) = 0C) x^3 - 5x2 + 2x + 8 = 0D) x^4 - x^3 - 5x^2 + 2x + 8 = 0

Which of these polynomial equations is of least degree and has - 1, 2, and 4 as three of its roots?

A) 5x^2 + 2x + 8 = 0

B) (x + 2) (x - 1) (x + 4) = 0

C) x^3 - 5x2 + 2x + 8 = 0

D) x^4 - x^3 - 5x^2 + 2x + 8 = 0