Question

Which of the following are possible rational roots of the polynomial function

Answer 1

a. b. d. only


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

Answer 2

The correct options are:

A.
`\pm 7`

B.
`\pm (1)/(2)`

D.
`\pm 1`

Explanation:

Rational Root theorem--

For any polynomial function of the type:

`P(x)=a_nx^n+a_(n-1)x^(n-1)+.............+a_1x+a_0` where
`a_i's` are integers.

The rational roots are of type p/q where p is the factor of
`a_0` and q is the factor of
`a_n`

• We have a polynomial function as:

`f(x)=2x^2-3x+7`

Here p is a factor of 7.

i.e.p could take value 1,-1, 7 and -7.

and q is a factor of 2.

i.e. q could take value 1,-1,2 and -2.

The possible rational roots are given by:

`\pm 7,\pm (1)/(2)\ and\ \pm 1`