Answer:
(c) For p = 15,
leaves a remainder of -2 when divided by (x-3).
Step-by-step explanation:
Here, The dividend expression is
= E(x)
The Divisor = (x-3)
Remainder = -2
Now, by <u>REMAINDER THEOREM</u>:
Dividend = (Divisor x Quotient) + Remainder
If ( x -3 ) divides the given polynomial with a remainder -2.
⇒ x = 3 is a solution of given polynomial E(x) - (-2) =
= S(x)
Now, S(3) = 0
⇒![4x^2-p(x)+9 = 4(3)^2 - p(3) + 9 = 0\\\implies 36 - 3p + 9 = 0\\\implies 45= 3p , \\or p =15](https://tex.z-dn.net/?f=4x%5E2-p%28x%29%2B9%20%3D%204%283%29%5E2%20-%20p%283%29%20%2B%209%20%3D%200%5C%5C%5Cimplies%2036%20-%203p%20%2B%209%20%3D%200%5C%5C%5Cimplies%2045%3D%203p%20%2C%20%5C%5Cor%20p%20%20%3D15)
or, p =1 5
Hence, for p = 15,
leaves a remainder of -2 when divided by (x-3).
Answer:
8
Step-by-step explanation:
![\frac{65+(\frac{1}{5} *5)+6}{9} \\\\\frac{65+1+6}{9} \\\\\frac{72}{9} \\\\8](https://tex.z-dn.net/?f=%5Cfrac%7B65%2B%28%5Cfrac%7B1%7D%7B5%7D%20%2A5%29%2B6%7D%7B9%7D%20%5C%5C%5C%5C%5Cfrac%7B65%2B1%2B6%7D%7B9%7D%20%5C%5C%5C%5C%5Cfrac%7B72%7D%7B9%7D%20%5C%5C%5C%5C8)
Answer: 41,224
Step-by-step explanation:
You add 6% sales tax (4000*.06 = 240) 4000+240 = 4240 So A. is your answer.