What of the following is the complete factorization of the polynomial - x^3+2x^2+x+2 A.(x+2)(x+i)(x-i)
B. (x-2)(x+i)(x-i)
C. (x-2)(x+i)(x+i)
D. (x+2)(x+i)(x+i)

9514 1404 393

  A. (x +2)(x +i)(x -i)

Step-by-step explanation:

The complex factors must be conjugates, eliminating choices C and D.

The product of the complex factors will be (x^2 +1) so the remaining factor must have a constant of +2 in order for the constant in the product to be 2.

  p(x) = (x +2)(x² +1) = (x +2)(x +i)(x -i)

∠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.

answer: 94

step-by-step explanation: 79+91+92+94+94 = 450 divided by 5 (since there are 5 number that are being added) = 90