Enter the number of complex zeros for the polynomial function in the box. f(x)=x3−96x2+400

The complex zeros of the polynomials  are 20i and -20i

Given the polynomials, the zeros of the polynomial are gotten by equating the function to zero and then factorizing as shown:

f(x)=x^3−96x^2+400

x^3−96x^2+400 = 0

x^2(x-96) + 400 = 0

x^2(x - 96) = -400

x^2 = -400

Get the required complex roots:

x^2 = -400

x = ±√-400

x = ±20i

Hence the complex zeros of the polynomials  are 20i and -20i

Learn more on zeros of polynomials here: link

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.