Question

factorise the following 3x^2+7x+4

Answer 1

Hey

Here is your answer,

3x^2+7x+4 =0
3x^2 + 3x + 4x + 4 =0
3x(x+1) + 4(x+1)=0
(x+1)(3x+4)=0
X+1=0
X=-1
3x+4=0
X=-4/3

Hope it helps you!

Answer 2

Hey there
$3x {}^{2} + 7x + 4$
We can see that this is a quadratic equation. So we can factories this equation by the method of middle term splitting.we have to break the middle term into sum of two no.s such that their product is equal to 12 and sum equal to 12
$3x {}^{2} + 4x + 3x + 4$
Here those two no.s are 4x and 3x.
Now we will factories this by grouping method.
$x(3x + 4) + 1(3x + 4)$
$(3x + 4)(x + 1)$
So finally we have factories the given equation in the question.


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