Question

4x^2-11x+6 factorise it​

Answer 1

this question can be solved by many methods...the easiest is factorisation...pls check the attachment

Answer 2

Answer:

The answer to the given question is factorising. 4x²-11x+6 we get the zeroes as

$2 \: and \: \frac{3}{4}$

Step-by-step explanation:

Given :

4x²-11x+6.

we have to factorise the given equation.

The expression is in the form of

x²-x(sum of zeroes )+ product of zeroes

Here the product of the zeroes is 24 and the sum of zeroes is -11.

we have to find the value of zeroes.

let us split the equation in terms of zeroes.

${4x}^{2} - 11x + 6$

rewrite it with the zeroes

${4x}^{2} - 8x - 3x + 6$

on taking the like terms on one side we get the values as

$4x( x - 2) - 3(x - 2)$

Taking (x-2)as common from both terms

$(x - 2)(4x - 3)$

on equalising the above values to zero, we get the final answer as

$x - 2 = 0 \\ x = 2 \\ 4x - 3 = 0 \\ 4x = 3 \\ x = \frac{3}{4}$

Therefore, the zeroes of expression after factorising is 2,3/4

# spj3

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