Question

using factor theorem factorise 6x3-7x2-11x+12.​

Answer 1

Step-by-step explanation:

Given

(x−1) is factor of 6x

3

−7x

2

−11x+12

x−1)6x

3

−7x

2

−11x+12(6x

2

−x−12

6x

3

−6x

2

_______________

−x

2

−11x

−x

2

+x

________________

−12x+12

−12x+12

________________

0

6x

2

−7x

2

−11x−112=(x−1)(6x

2

−x−12)

=(x−1)(6x

2

−9x+8x−12)

=(x−1)(3x(2x−3)+4x(2x−3))

=(x−1)(3x+4)(2x−3)

3x+4=0,2x−3=0

x=

3

−4

,x=

2

3

∴ Zero of polynomials are

3

−4

and

2

3

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