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:
g(x) - f(x) = -14x - 3
Step-by-step explanation:
We need to subtract the function f(x) = 9x + 4 from the function g(x) = -5 + 1. Rewriting these two functions in columns, we get
g(x)= -5x+1
- f(x) = -(9x+4) Note: Use parentheses as shown here.
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g(x) - f(x) = -14x - 3
The sum of 2 sides of a triangle needs to be greater than the length of the 3rd side.
14 + 29 = 43 (this is greater than 41)
14 + 41 = 55 (this is greater than 29)
29 + 41 = 70 (this is greater than 14)
(14, 29,41) can form a triangle.
Two vertical angles are formed. These angles are also equal to each other.
Answer:
C
Step-by-step explanation:
C is the answer because a1=7 , d=-4 and so it's
an=an+(n-1)d
