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Free_Kalibri [48]
3 years ago
9

Multiply (2x^2-3x+1)*(x^2-4x-3)

Mathematics
1 answer:
lianna [129]3 years ago
8 0

(2 {x}^{2}  - 3x + 1)( {x}^{2}  - 4 - 3) =  \\  = 2 {x}^{4}  - 8 {x}^{2}  -  6 {x}^{2}  - 3 {x}^{3}  + 12x + 9x +  {x }^{2}  - 4 - 3 =  \\  = 2 {x}^{4}  - 3 {x}^{3}  - 13 {x}^{2}  + 21x - 7

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Solution:

Given: zj = 3- j2, zz = - 4 + j3

Part a:

zj = 3- j2 = 3.6e^{-j33.7^{\circ}}

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Part b:

|zj| = |3− j2| =  √3² +(−2)² = √13 = 3.60

|z1| =  √(3− j2)(3+ j2) = √ 13 = 3.60.

Part c:

With the help of part a:

z1z2 = 3.6e^{-j33.7^{\circ}}.5e^{j143.1^{\circ}}

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