Question

12x2-7x+1 with explanation​

Answer 1

QUESTION-

12x² - 7x + 1

ANSWER-

  12x² - 7x + 1

= 12x² – 4x – 3x + 1

= 4x(3x – 1) -1 (3x – 1)

= (3x -1)(4x – 1)

EXPLANATION-

We have factorised "12x² - 7x + 1". We used the middle-term splitting method.

We need to find two numbers ‘a’ and ‘b’ such that a + b =-7 and ab = 12.

On solving this we obtain, a = -4 and b = -3.

We split the middle term "-7x" into "-4x" and "-3x".

Then we solve it as shown above.