urgent
divide f(x) by d(x), and write a summary statement in the form indicated.

f(x) = x4 + 4x3 + 6x2 + 4x + 5; d(x) = x2 + 1

answer choices:
f(x) = (x2 + 1)( x2 + 4x + 5) + 12x - 15
f(x) = (x2 + 1)( x2 + 4x + 5)
f(x) = (x2 + 1)( x2 - 4x + 5)
f(x) = (x2 + 1)( x2 - 4x + 5) + 12x - 15

The answer to your question is: (x² + 4x + 5)(x² + 1)  Second option

Step-by-step explanation:

                                        x² + 4x + 5

                      x² + 1         x⁴ + 4x³ + 6x² + 4x + 5

                                     -x⁴            -   x²

                                       0   + 4x³ + 5x² + 4x

                                            - 4x³            -4x

                                               0      +5x²    0   + 5

                                                        -5x²          -5

                                                         0               0

Remainder = 0

The first and the last options are not solutions because there was not remainder.

The third option is incorrect because the second term is negative and must be positive.

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200