Question

Which statement about the polynomial function g(x) is true?

Answer 1

When leading coefficient is 1 , the root will be an integer for g(x) = 0

Option 4 is the right answer.

What is a Polynomial Function ?

Functions of independent variable in which the variable can appear more than once with different powers.

$\rm g(x) = a_n x^n + a_{n-1}x^{n-1} + ................+ a_o$

Let this represents the polynomial function

where $\rm a_n \; is\;the \;leading \; coefficient \; a_o \; is \;the\;last \;term$

Then the according to rational root theorem ,

The root of the function is given by

$\rm \dfrac{p}{q} = \dfrac{factor \;of\; the\; last\; term}{factor \;of \;the\; leading coefficient}$

So when leading coefficient is 1 , the root will be an integer for g(x) = 0

Option 4 is the right answer.

To know more about Polynomial function

brainly.com/question/12976257

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