how to find the hcf and lcm of polynomial
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step 1 :- first factorise all given polynomial .
example :- given two polynomial ,
x² -5x +6 and x -3
then, factorisation of x² -5x +6 =(x-3)(x -2)
step2 :- take common factors in all factorosation , give HCF of given polynomial .
from above example
common factor = (x -3)
so, HCF of { x²-5x +6 , x -3} = (x -3)
step3 :- take lowest common factor .
give LCM of given polynomial.
example :- x² -5x +6 = (x -2)(x -3).1
(x -3) = (x -3).1
so, Lowest common factor= (x -2)(x -3)
so, LCM = x² -5x +6
example :- given two polynomial ,
x² -5x +6 and x -3
then, factorisation of x² -5x +6 =(x-3)(x -2)
step2 :- take common factors in all factorosation , give HCF of given polynomial .
from above example
common factor = (x -3)
so, HCF of { x²-5x +6 , x -3} = (x -3)
step3 :- take lowest common factor .
give LCM of given polynomial.
example :- x² -5x +6 = (x -2)(x -3).1
(x -3) = (x -3).1
so, Lowest common factor= (x -2)(x -3)
so, LCM = x² -5x +6
thegr8nd:
i am unable to get through the third step......plzz help me to understand
let 8 and 4 given of you
then ask what is LCM of its
then you first find factor of this
8 = 2×2×2 and 4 =2×2
now, here lowest common factor = 2×2×2
abhi not this question
in simple way you understand ,
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LCM is that lowest number which is divisible by all given number
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