Answer:
Option (3)
Step-by-step explanation:
If binomial (x - 6) and trinomial (-2x² + x + 9) are the factors of a polynomial then their multiplication will be equal to the polynomial.
(x - 6)(-2x² + x + 9) = x(-2x² + x + 9) - 6(-2x² + x + 9)
                               = -2x³ + x² + 9x + 12x² - 6x - 54
                               = -2x³ + 13x² + 3x - 54
Therefore, Option (3) will be the correct option.
 
        
             
        
        
        
◆ COMPLEX NUMBERS ◆
125 ( cos 288 + i sin 288 )  can be written as -
125.e^i( 288)  
125.e^i( 288 +360 ) 
125.e^i( 288+ 720)
[ As , multiples of 360 can be added to an angle without changing any trigonometric functions or sign ]
To find the cube root , take the cube root of above 3 expressions ,
We get -
5 e^( i 96 )  
5 e^( i 216 )   
5 e^( i 336 )
Now using Euler's formula , We rewrite above as -
5 ( cos 96 + i sin 96 )  
5(c os 216 + i sin 216 )  
5 ( cos 336 + i sin 336 ) Ans.
        
             
        
        
        
Answer:
5/24 or in decimal form 0.2083
Hope this helped
 
        
             
        
        
        
Answer:
9/10 or 0.45 in decimal form
Step-by-step explanation: