Question

I 12 x²- 7x+1 Factorise​

Answer 1

Step-by-step explanation:

12x²-7x+1

12x²-4x-3x+1

4x(3x-1)-1(3x-1)

(3x-1)(4x-1)

Answer 2

Answer:

Step-by-step explanation:

12$x^{2}$−7x+1

Factor the expression by grouping. First, the expression needs to be rewritten as 12$x^{2}$ +ax+bx+1. To find a and b, set up a system to be solved.

a+b=−7

ab=12×1=12

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 12.

−1,−12

−2,−6

−3,−4

Calculate the sum for each pair.

−1−12=−13

−2−6=−8

−3−4=−7

The solution is the pair that gives sum −7.

a=−4

b=−3

Rewrite 12$x^{2}$

−7x+1 as (12$x^{2}$

−4x)+(−3x+1).

(12$x^{2}$−4x)+(−3x+1)

Factor out 4x in the first and −1 in the second group.

4x(3x−1)−(3x−1)

Factor out common term 3x−1 by using distributive property.

(3x−1)(4x−1)