Given P(x) = a(b-x)(x+c)(dx + 4), where a, b, c and d are constants. Given the first term of the expansion of P(x) is –12x³ and has a zero of -3. Find P(x) if the
polynomial leaves a remainder of 48 when divided by x and a remainder of
- 312x +312 when divided by
4x -x²-3.

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Step-by-step explanation:

cant open file sorry!

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional