Question

Factorise : 6x 2  – 5x 2  – √3x + 12

Answer 1

Answer:

26.7279833461

Step-by-step explanation:

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Answer 2

Answer

Solution

Step-by-step explanation:

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Class 8

>>Maths

>>Factorisation

>>Factorisation

>>Factorize : 6x^3 - 5x^2 - 1...

Question

Bookmark

Factorize : 6x

3

−5x

2

−13x+12

Medium

Solution

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Consider the given that 6x

3

−5x

2

−13x+12

Put x=1 and we get,

6(1)

3

−5(1)

2

−13(1)+12

=6−5−13+12=0

Then, x=1 and x−1=0 is a factor.

Now figure above

6x

3

−5x

2

−13x+12=(x−1)(6x

2

+x−12)=0

⇒(x−1)(6x

2

+x−12)=0

⇒(x−1)(6x

2

+(9−8)x−12)=0

⇒(x−1)(6x

2

+9x−8x−12)=0

⇒(x−1)[3x(2x+3)−4(2x+3)]=0

⇒(x−1)(3x−4)(2x+3)=0

If x−1=0 then x=1

If 3x−4=0 then x=

3

4

If 2x+3=0 then x=

2

−3

Hence, the factor is 1,−

2

3and

3

4.

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