Quiz Question 1 (5 points)
Find all real and non-real roots of the function ƒ(x) = (x2 + 4)(x – 2).
Question 1 options:

A)

x = ±2

B)

x = ±2i

C)

x = ±4i, 2

D)

x = ±2i, 2
Question 2 (5 points)
Which of the following lists the roots of ƒ(x) = x3 + x2 + 3x + 3?
Question 2 options:

A)

x = ±1.73i, –1

B)

x = ±1.73, 1

C)

x = ±1.73i, 1

D)

x = ±1.73, –1

D, D

Step-by-step explanation:

We have that,

Sk we just set each factor equal to zero.

oe

Then we set the final equal to zero.

So D is the answer.

is a root so that means that

Are the roots.

We set

Which is about 1.73. so

D is the answer

a

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204