VCE Maths questions help (1 Viewer)

[boredsatan]

is 3/(x-1)+2 a polynomial ? If no, why isn't it a polynomial?

 

[Squar3root]

is 3/(x-1)+2 a polynomial ? If no, why isn't it a polynomial?

no

polynomials have integer powers

 

[boredsatan]

no

polynomials have integer powers

what are integer powers?

 

[boredsatan]

thanks
for the help

 

[pikachu975]

what are integer powers?

Powers that are integers (whole numbers)

Also polynomials must have POSITIVE integer powers not just integers, so y = x^-3 isn't a polynomial

 

[1729]

what are integer powers?

 

[Squar3root]

is 3/(x-1)+2 a polynomial ? If no, why isn't it a polynomial?

no

polynomials have integer powers

what are integer powers?

Powers that are integers (whole numbers)

Also polynomials must have POSITIVE integer powers not just integers, so y = x^-3 isn't a polynomial

my bad

yes this


polynominals have integer powers > 0

1729 mentioned toe subset above

 

[boredsatan]

How would you show that the points (5,2). (-2,1) and (1,5) form the vertices of an isosceles triangle?

 

[boredsatan]

all of the points (-1,-6), (0,-6), (1,-2) and (2,2) lie on the cubic with equation ax^3 + bx^2 + cx + d.
Find the value of d
determine 3 simultaneous equations that will enable solutions to a, b, and c to be found
find the values of a, b, and c, and determine the equation of the cubic

 

[boredsatan]

a graph has the rule
y = a/(x-b)^2 + c
the y intercept is located ta (0,-1) and an asymptote exists at y = 2, determine the values of a, b, and c

 

[boredsatan]

Would appreciate any help. Have a maths exam in 4 days

 

[boredsatan]

If f(x) = 3x and g(x) = x+2, then what is the value of g(f(-1))

 

[1729]

all of the points (-1,-6), (0,-6), (1,-2) and (2,2) lie on the cubic with equation ax^3 + bx^2 + cx + d.
Find the value of d
determine 3 simultaneous equations that will enable solutions to a, b, and c to be found
find the values of a, b, and c, and determine the equation of the cubic

 

[InteGrand]

If f(x) = 3x and g(x) = x+2, then what is the value of g(f(-1))

First find f(-1).

Then plug this into the equation for g(x) to get the value of g(f(-1)).

 

[1729]

If f(x) = 3x and g(x) = x+2, then what is the value of g(f(-1))

 

[boredsatan]

how do you know that d = -6?

 

[InteGrand]

how do you know that d = -6?

In general, the constant term of a polynomial is the y-intercept (value when x = 0).

 

[1729]

How would you show that the points (5,2). (-2,1) and (1,5) form the vertices of an isosceles triangle?

One method is to apply the distance formula and discover two equal sides.

 

[boredsatan]

One method is to apply the distance formula and discover two equal sides.

Thanks!

 

[boredsatan]

At what rate (in km/h) would a train be travelling if it covered 32.5 km in 15 minutes