Suppose somebody writes down an equation for a 5th-degree polynomial function
in standard form and tells you that it has only one real zero (but not where it is).
They tell you that you are allowed to ask any two questions about the polynomial,
and once those two questions have been answered, you should do your best to
graph the polynomial.

Question 1 -

What is location of one real zero?

Answer --> At , x= f we have one real zero.

Question 2 -

Whatis location of all other roots? Explain their nature ?

Explanation

Fifth order polynomial is of form :-

ax^5 + bx^4 + cx^3 + dx^2 + ex = 0

As it is one real zero , so it is of form:-

(x- f)( ax^4 + bx^3 + cx^2 + dx + e)

Question 1 -

What is location of one real zero?

Answer --> At , x= f we have one real zero.

Question 2 -

What is location of all other roots? Explain their nature ?

=>

Let us consider a 5th degree polynomial example.

1)

(x^5 -4x^4 + 3x^3 + 2x^2 + x+1 =0)

Has one real root at x = -0.577

​​​​2)

(x^5 − 4x^4 + 6x^3 − 4x^2 + x = 0)

Has one real root at x= 0

1) graph

2) graph

Step-by-step explanation:

there is no image attacted

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have