Factor completely. 3x^3 +9x^2 +x+3. you!

(x+3) (3x^2+1)

Step-by-step explanation:

3x^3 +9x^2 +x+3.

We can factor by grouping

The first two terms take out 3x^2  and the last 2 terms take out a 1

3x^2 (x+3) + 1(x+3)

Now we can factor (x+3)

(x+3) (3x^2+1)

Step-by-step explanation:

1. First  group the first two terms and the last two terms of the polynomial given in the problem, as following:

2. Now, you must factor out the greatest common factor:

3. Factor out (x+3). Finally you obtain that the answer is:

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.