Find the factors of 6 x 2-13 x -6-0A- 3 x-12 x-3B- 3 x-22 x-3C- x-22 x-3D- 3 x-2x-3

The correct option is B (3x – 2 ) ( 2x – 3) 6x^2 13x + 6 —– gt;(1) Using the method of splitting the middle term. x term is the sum of two factors and pro ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Factorisation by Regrouping Terms

Find the fact...

Question

Find the factors of $6 x^{2} - 13 x + 6 = 0$

$(x - 2) (2 x - 3)$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$(3 x - 1) (2 x - 3)$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$(3 x - 2) (x - 3)$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$(3 x - 2) (2 x - 3)$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
$(3 x - 2) (2 x - 3)$

$6 x^{2} - 13 x + 6$ ----->(1)
Using the method of splitting the middle term.
x term is the sum of two factors and product equal to the last term.
Here a = 6,b = -13,and C = 6
a.c = Product of 6 and 6 = 36
Factors of 36 = 2,18
= 3,12
= 4,9
Only the factors 4 and 9 gives 13 ⟶ (4 + 9)
For -13 , both the factors have negative sign. (- 4 - 9 = - 13)
Equation (1) ⇒ $6 x^{2} - 4 x - 9 x + 6$

$\Rightarrow 2 x (3 x - 2) - 3 (3 x - 2)$

$\Rightarrow (3 x - 2) (2 x - 3) a r e t h e f a c t o r s .$

Suggest Corrections

Similar questions

Find the L.C.M. of $6 x^{2} - x - 1, 3 x^{2} + 7 x + 2 a n d 2 x^{2} + 3 x - 2$

Factorise $2 x^{2} - 7 x + 6$

The factors of the polynomial 4x²+ 12x + 9 are

Q. Question 16
The factorization of

4 x^{2} + 8 x + 3

is

A)

(x + 1) (x + 3)

(2 x + 1) (2 x + 3)

(2 x + 2) (2 x + 5)

(2 x - 1) (2 x - 3)

L.C.M. of $6 x^{2} - x - 1, 3 x^{2} + 7 x + 2 a n d 2 x^{2} + 3 x - 2$ is $(x + 2) (2 x - 1) (3 x + 1)$

Join BYJU'S Learning Program

Find the factors of 6x2−13x+6=0

Find the factors of $6 x^{2} - 13 x + 6 = 0$