Question

Factorise the following​

Answer 1

Answer:

Step-by-step explanation:

To factorize

Factorize the polynomial using identity (x + a)(x + b) = $x^{2}$ + (a + b)x + ab

Multiply the first term's constant(4$\sqrt{3}$) with last term

That is,

4$\sqrt{3}$ X -2$\sqrt{3}$ = 4 X -2 X $\sqrt{3}$ X $\sqrt{3}$

                    = -8 X 3

                    = -24

Now find the factors of -24 such that it add up to co-efficient of x(5)

8[a] X (-3)[b] = 24

8[a] + (-3)[b] = 5[co-efficient of x]

Continue

= $x^{2}$ + [8 + (-3)]x + 8 X (-3)

=  $x^{2}$ + 8x -3x + 8 X (-3)

Take common

= x(x + 8) - 3(x + 8)

Again take common

= (x + 8)(x - 3)