<span>The Z transform is related to Laplace transform and is applied to analyze digital circuits. The Fourier transform, on the other hand, is a type z-transform, i.e z-transform which is used in spectrum analysis and calculation of the energy density of the signal. The difference lies on the field of application.</span>
        
             
        
        
        
The polynomial is (mx^3+3)(2x²+5x+2)-(8x^5 +20x^4)
if it is reduced to 8x^3+6x²+15x+6, so we can find the value of m
 (mx^3+3)(2x²+5x+2)-(8x^5+20x^4) = <span>8x^3+6x²+15x+6
</span>2mx^5+5mx^4+2mx^3+6x²+15x+6-8x^5-20x^4=<span>8x^3+6x²+15x+6
</span>2mx^5+5mx^4+2mx^3=8x^3+6x²+15x+6-6x²-15x-6+ <span>8x^5+20x^4
</span>=  8x^5+20x^4+<span>8x^3= 4(2x^5+5x^4+2x^3)
finally
</span>m(2x^5+5x^4+2x^3)=<span>4(2x^5+5x^4+2x^3), and after simplification
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C:  m=4
<span>4. When the expression is factored x²-3x-18 completely, 
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one of its factor is x-6
<span>x²-3x-18=0
</span>D= 9-4(-18)= 81, sqrtD=9 x=3-9/2= -6/2= -3, and x=3+9 / 2= 6
so <span>x²-3x-18= (x-6)(x+6)
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2. He can break his strand of 10 blocks into 3 3 times 4. I think it is 74 blocks are needed.
        
             
        
        
        
First step is to distribute. 
-4a^2 - 6a +2 + 3a^2 -3
Combine like terms
-a^2 -6a -1