Answer:
Let p(x) = x3 + ax2 + bx +6
(x-2) is a factor of the polynomial x3 + ax2 + b x +6
p(2) = 0
p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0
7 +2 a +b = 0
b = - 7 -2a -(i)
x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.
p(3) = 3
p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3
11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)
Equating the value of b from (ii) and (i) , we have
(- 7 -2a) = (-10 - 3a)
a = -3
Substituting a = -3 in (i), we get
b = - 7 -2(-3) = -7 + 6 = -1
Thus the values of a and b are -3 and -1 respectively.
Step-by-step explanation:
Answer:
6c+30
Step-by-step explanation:
Distribute it!
1 gallon is 8 pints....so 1/2 gallon = 4 pints
she fills a 1 pt thermos with milk each day......how many times will she be able to fill her thermos with 1/2 gallon (or 4 pints) of milk ?
if she fills a 1 pint thermos each day....and she has 4 pints of milk, then she will be able to fill her thermos 4 times <===
The answer to this problem is 1 :)
Answer:
D
Step-by-step explanation:
The initial value is the beginning output value, or the y-value when x = 0. Therefore, since y is at 7 when x is at 0, the answer is 7.
