What is the leading coefficient of a third degree polynomial function that has an output of 1,272 when x=2, and has zeros of −6, 7i, and −7i?

The leading coefficient is 3

Step-by-step explanation:

Polynomials

Given the roots of a polynomial x1,x2,x3, it can be expressed as:

Where a is the leading coefficient.

We are given the roots x1=-6, x2=7i, x3=-7i, thus:

Operating the product of the conjugated imaginary roots:

Knowing p(2)=1,272 we can find the value of a

Operating:

Solving:

a=3

The leading coefficient is 3

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.