Determine the quotient, q(x), and remainder, r(x) when

f(x) = 9x4 + 21x3 + 24x2 + 24x + 14

is divided by g(x) = 3x2 + 1x + 3 .

q(x) = 3x^2 + 6x + 3 and r(x) = 3x + 5.

Step-by-step explanation:

Using Long Division:

3x^2+x+3  )9x^4+21x^3+24x^2+24x+14 (3x^2+6x+3  < Quotient

                  9x^4+ 3x^3 + 9x^2

                             18x^3+15x^2+24x

                              18x^3+6x^2+18x

                                           9x^2+6x+14

                                            9x^2+3x+9

                                                    3x + 5 <remainder

im like 90% sure its a meme

step-by-step explanation:

good luck tho

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'.