Question

Which of the number(s) below are potential roots of the function?

q(x) = 6x3 + 19x2 – 15x – 28

(the answer is not 6)

Please hurry!!!

Answer 1

Answer: a, b, e

............

Answer 2

The potential roots are
`(\pm 2)/(3), (\pm 7)/(2)\ and\ \pm 14`

Explanation:

We are given,

The function
`q(x)=6x^3+19x^2-15x-28`.

Now, the factors of the constant 28 are 1,2,7,14 and 28.

And, the factors of co-efficient of highest degree i.e. 6 are 1,2,3 and 6.

So, dividing the factors of 28 by the factors of 6 gives us the potential roots,

`\pm1, \pm 2,\pm 4,\pm 7,\pm 14,\pm 28,\pm (1)/(2), \pm (7)/(2),\pm (1)/(3), \pm (2)/(3),\pm (4)/(3), \pm (7)/(3),\pm (14)/(3), \pm (28)/(3),\pm (1)/(6),\pm (7)/(6)`

So, according to the options, we have,

The potential roots are
`(\pm 2)/(3),(\pm 7)/(2)\ and\ \pm 14`.