Question

PLEASE HURRY determine which consecutive integers do not have real zeros between them. 2x^3-6x^2+x+2 a. (-1,0) c. (1,2) b. (0,1) d. (2,3)

Answer 1

`\Large \boxed{\mathrm{\bold{C.} \ (1,2)}}`

Explanation:

`2x^3-6x^2+x+2`

Zeros are when y = 0 or where it touches the x-axis.

It crosses the x-axis at:

x ≈ -0.47

x ≈ 0.797

x ≈ 2.673

The consecutive integers (1, 2) do not have real zeros between them as shown in the graph below.

Answer 2

c

Explanation: