Question

factorise 1/2x^2+3x+4​

Answer 1

Answer:

Hope it helps you...............

Answer 2

Given,

(1/2) x² + 3x + 4

To find,

The factors of (1/2) x² + 3x + 4.

Solution,

The factors of (1/2) x² + 3x + 4 will be (1/2) (x+4) (x+2).

We can easily solve this problem by following the given steps.

Now, we have

(1/2) x² + 3x + 4

Taking 1/2 common from all these three terms,

(1/2) [ x² + 6x + 8]

We can factorise x² + 6x + 8 by splitting the middle term, 6x, into two terms such that their sum will be equal to 6x and multiplication will be 8x² (x² × 8).

(1/2) [ x² + 4x + 2x + 8]

(1/2) [ x(x+4) + 2(x+4)]

(1/2) [ (x+4) (x+2)]

Hence, the factors of (1/2) x² + 3x + 4 will be (1/2) (x+4) (x+2).