Find a polynomial p(x) with real coefficients having a degree 6, leading coefficient 33, and zeros 44, 0 (multiplicity 3), and 44minus−33i.

Given zero "a", (x - a) is a factor of the polynomial. That factor is repeated according to the multiplicity of root "a". Any complex zero is matched by another zero that is its conjugate. Hence all 6 zeros are defined, and our polynomial is

... p(x) = 3(x -4)(x -0)³((x -4)² -(3i)²)

... p(x) = 3x³(x -4)(x² -8x +25) = 3x³(x³ -12x² +57x -100)

... p(x) = 3x⁶ -36x⁵ +171x⁴ -300x³

The factor pair (x - a - bi)(x - a + bi) can be treated as the factorization of the difference of squares (x - a)² - (bi)². When expanded, that becomes

... x² -2ax + a²+b²

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies