Rewrite the following equation in exponential form.
1 answer:
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Answer:
3,247,695
Step-by-step explanation:
We want the coefficient of the term with x^8
So Use Newton's Binomial Expansion formula
Formula is (x + y) ^n = Sum for i=0 to n (n choose i) x^(n-i)*y^i
here (x^2 + 3) ^ 12
( 12 choose i) * (x^2)^(12-i) * (3)^i
i needs to equal 8 for us to get x^8
(12 choose 8) * (x^2)^(12-8) * (3^8)
= (12 choose 8) * x^8 * (3^8)
so a = (12 choose 8) *
a = (12! /(8! * 4!) ) *
a = ( 12*11*10*9/ 4*3*2*1) *
a = (11*5*9) *
a = 11*5*9 * 6561
a = 3,247,695
Answer:
3,4,5,6 and 7
Step-by-step explanation:
Given
Required
State the values of x within 2 and 8
Collect Like Terms
Divide both sides by 5
(2,8) is an open interval which means that 2 and 8 are not inclusive of the values of x.
So:
The values of are: 3,4,5,6 and 7