Given the function f(x) = x^4 - 2x^3 - 6x^2 + 3x +1, use intermediate theorem to decide which of the following intervals contains at least one zero. select all that apply.

Answers:

First option: [-2,-1]

Second option: [-1,0]

Third option: [0,1]

Sixth option: [3,4]

Please, see the attached files.

Thanks.

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4