simplify 4x^2 -32x + 48 / 3x^2 -17x -6

Question

anonymous · Answer

Factorize first numerator and denominator..

anonymous · Answer

Take 4 common from the numeration and then factorize it, this will be simple to factorize..

anonymous · Answer

for the numerator i got 4(x-6)(x-2) but how are you suppose to simplify the denominator when 17 cant be simplified?

anonymous · Answer

Denominator is:

$$= (3x +1)(x-6)$$

anonymous · Answer

[4(x-6)(x-2)/ (x-6)(3x+1)]=0

anonymous · Answer

how did you guys get the denominator?

anonymous · Answer

Cancel what you can cancel and then tell me what you are left with??

anonymous · Answer

It is simple:

See, when:
$$a \ne 1$$

Then we make the factors of ac..

that is : 3*(-6) = -18

Getting??

anonymous · Answer

Ok I see what your saying

anonymous · Answer

In numerator after taking 4 common the coefficient of x became 1 but in denominator coefficient of x is not 1 but 3..

In this case we multiply coefficient of x with constant term that is c..
So, 3*(-6) = 18

Factors of 18 can be 18 and 1..

Can you proceed further??

anonymous · Answer

yes thank you ;D

anonymous · Answer

Welcome dear..