Answer:
The number 312 lies between the perfect cubes 216 and 343.
So the cube root of 312 lies between the number 6 and 7.
This means that the cube root of 312 is an irrational number because it is not a perfect cube root.
Step-by-step explanation:
Answer:
x = 
Step-by-step explanation:
Given
f(x) = 
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
2x - 3 = 0 ⇒ 2x = 3 ⇒ x =
Thus x = is the vertical asymptote
Foil method:
FOIL stands for
first-multiply the first term in each set of parenthesis
outer-multiply the outer term in each of the perenthesis
inner- multiply the inner term in each of the parenthesis
last- multiply the last term in each of the parenthesis
(3x+8)(x+1)
(3x*x)=3x^2
(3x*1)=3x
8*x=8x
8*1=8
thus we shall have:
3x^2+3x+8x+8
=3x^2+11x+8
Distributive property:
(3x+8)(x+1)
3x(x+1)+8(x+1)
3x^2+3x+8x+8
=3x^2+11x+8
Both methods are efficient, it all depends with the users preference
Answer:
The leading coefficient of the polynomial is 5 .
Step-by-step explanation:
f(x) = 6x^5 + 9x^4 + 2x^3 + 3x^2 - 4x -6
In this polynomial , the highest exponential is the leading coefficient .
So there are 5 coefficients ,
5 , 4 , 3 , 2 , and x
so above , the highest one is 5 .
