Question

Factorise x2-2√3x-24

Answer 1

x²-2√3x-24
=x²-4√3x+2√3x-24
=x(x-4√3)+2√3(x-4√3)
=(x-4√3)(x+2√3)
=(x+2√3)(x-4√3)

Answer 2

The value of $x^{2}-2 \sqrt{3 x}-24 \text { is } \bold{(x+2 \sqrt{3})(x-4 \sqrt{3})}$.

To find:

Factorise $x^{2}-2 \sqrt{3 x}-24$

Solution:

$x^{2}-2 \sqrt{3 x}-24$

$=x^{2}-4 \sqrt{3 x}+2 \sqrt{3 x}-24$

$=x(x-4 \sqrt{3})+2 \sqrt{3}(x-4 \sqrt{3})$

$=(x-4 \sqrt{3})(x+2 \sqrt{3})$

$=(x+2 \sqrt{3})(x-4 \sqrt{3})$

A polynomial is an expression consisting of ‘variables’ and ‘coefficients’ that involves the arithmetic operations like ‘addition’, ‘subtraction’, and ‘non-negative integer exponents’ of variables. Polynomial equation is an equation that has multiple terms made up of numbers and variables.