Question

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

Answer 1

a. b. d. only


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

Answer 2

Answer:

The correct options are:

          A.  $\pm 7$

          B.  $\pm \dfrac{1}{2}$

          D.  $\pm 1$

Step-by-step 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:

$\pm 7,\pm \dfrac{1}{2}\ and\ \pm 1$