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:
pi r squared divided by 2 for the half circle then add the area of the box to you number and there is your area
Answer:
There are 3 feet in a yard, so divide 34 by 3, which is 11 with a remainder of 1, the remainder 1 is the remaining foot, so 34 feet is 11 yards and 1 foot.
Step-by-step explanation:
You would have to know the height of the 8th graders
If she gets 3% of what she sells you multiply the decimal form of the percent by the amount she has made:
50*.03=1.5
So she make $1.50 for every $50 of sales, so you multiply the amount she made by her commission each day by the number of days she worked:
1.5*30=45
She earned a total of $45<span />
