Answer:
<em>The leading coefficient is 3</em>
Step-by-step explanation:
<u>Polynomials</u>
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