What is the highest common factor of 12 and 32?
It is 4, so we divide both numbers by 4.
This gives us 3 : 8. This cannot be simplified further, therefore it is the simplest form.

8 0

3 years ago

Find the inflection point of the function of f(x) = x³ -6x² +12x

Wewaii [24]

Points of inflections are zeroes of the second derivative. We have:

$f(x)=x^3-6x^2+12x\implies f'(x)=3x^2-12x\implies f''(x)=6x-12$

So, the second derivative equals zero if and only if

$f''(x)=0\iff 6x-12=0 \iff 6x=12 \iff x=2$

So, this is the only point of inflection of this function.

5 0

3 years ago

Write a polynomial in standard form with given Zeroes <br><br> given zeroes are 5 and 3+2i

Neko [114]

Required potynomial = (x -5)(x - 3 - 2i)(x - 3 + 2i) = (x - 5)(x^2 - 6x + 13) = x^3 - 6x^2 + 13x - 5x^2 + 30x - 65 = x^3 - 11x^2 + 43x - 65

4 0

3 years ago