Question

Factorise 4x^2 -x -1​

Answer 1

Answer:

2 solution(s) found

Step-by-step explanation:

Step by step solution :

STEP

1

:

Equation at the end of step 1

(22x2 - x) + 1 = 0

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 4x2-x+1

The first term is, 4x2 its coefficient is 4 .

The middle term is, -x its coefficient is -1 .

The last term, "the constant", is +1

Step-1 : Multiply the coefficient of the first term by the constant 4 • 1 = 4

Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is -1 .

-4 + -1 = -5

-2 + -2 = -4

-1 + -4 = -5

1 + 4 = 5

2 + 2 = 4

4 + 1 = 5

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

2

:

4x2 - x + 1 = 0