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:
- The term 'less than' is used to indicate the relationship between two values.
- The term 'less than' symbolically represented as '<'.
Step-by-step explanation:
- The term 'less than' is used to indicate the relationship between two values.
It expresses that one value will be lesser than the other.
The term 'less than' symbolically represented as '<'.
We can implement certain operations like comparing values, heights, and numbers.
For example, there are 3 pencils in one bag A, and 8 pencils in bag B.
When we compare the two, we can easily observe that bag A has fewer pencils than bag B.
Thus,
Pencils in Bag A < Pencils in Bag A
3 < 8
Sorry if this is messy but I hope it helps you
Answer:
|x + 12|
Step-by-step explanation:
The question I took form you I assume looks like this...
|x - (-12)|
Therefore, if we simplify this, the answer is |x + 12|
This is the answer because you would multiply -1 by -12
10xt=190
T represents the amount of trips and 10 represents the amount of money she spends each trip. Since she has $190 already it will be on the other side of the equation after the equal sign