Which represents the polynomial written in standard form? 4m – 2m4 – 6m2 + 9

Step-by-step explanation:

Any polynomial will have degrees of variable in integers and the degrees would be always positive.

It is conventional to write standard forms of polynomials in the descending powers of x.

i.e. we write for cubic polynomial the term containing x cube, and for power 5 polynomial, the term containing power 4, next power 3, thus strictly in descending order.

The given polynomial is

This is a polynomial because all x have powers in positive integers.

But this is not in standard form as highest degree of 4 is not the first term

Let us rearrange according to powers of m

We get

as standard form

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is