Which of the following is a polynomial with roots 2, –3i, and 3i ? .options:
a] x3 + 4x2 + 9x + 24

b] x3 – 4x2 + 9x – 24

c] x3 + 2x2 + 9x + 18

d] x3 – 2x2 + 9x – 18

The polynomial with roots 2, –3i, and 3i is:

Step-by-step explanation:

We are given three roots of a polynomial as:

                       2, -3i, 3i

Let p(x) be the polynomial whose roots are defined above.

Now we can find the equation of the polynomial as follows:

Hence, the answer is:  Option: D

         The polynomial is:  

three-fourths of an hour

36÷48=0.75

0.75=

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.