factorise 6 x square- 2x+5
Answers
Answer:
hey!!1
Step-by-step explanation:
question:- factorise 6 x square- 2x+5
6x²-2x +5
let us take two integers namely a and b
a×b = 6*5 = 30
a +b = -2
for satisfying this condition ,
-30 + 1 = -29
-15 + 2 = -13
-10 + 3 = -7
-6 + 5 = -1
-5 + 6 = 1
-3 + 10 = 7
-2 + 15 = 13
-1 + 30 = 29
we see no no.satisfies this,...
hence the given trinomial can't be factorised :)
MARK BRILLIANT....
Answer:
Solution:
Given Quadratic expression :
2x²-5x/6+1/12
Find L.C.M of 6 and 12 , we get
LCM = 12
= (24x²-10x+1)/12
Splitting the middle term, we get
= (1/12)[24x²-6x-4x+1]
=(1/12)[6x(4x-1)-1(4x-1)]
= (1/12)[(4x-1)(6x-1)]
Therefore,
2x²-5x/6+1/12 = (1/12)(4x-1)(6x-1)
6
x
2
−
x
−
5
For a polynomial of the form
a
x
2
+
b
x
+
c
, rewrite the middle term as a sum of two terms whose product is
a
⋅
c
=
6
⋅
−
5
=
−
30
and whose sum is
b
=
−
1
.
Tap for more steps...
6
x
2
−
6
x
+
5
x
−
5
Factor out the greatest common factor from each group.
Tap for more steps...
6
x
(
x
−
1
)
+
5
(
x
−
1
)
Factor the polynomial by factoring out the greatest common factor,
x
−
1
.
(
x
−
1
)
(
6
x
+
5
)
Step-by-step explanation: