Question

Factorise :
x2 - 11x + 24​

Answer 1

Answer:

x2-8x-3x+24

x(x-8)-3(x-8)

(x-3)(x-8)

Answer 2

Answer:

Given :-

x² - 11x + 24

To Find :-

Factorise.

Solution :-

By Splitting into the Middle Terms :-

$\sf x^{2} - 11x + 24$

As we can write -11x as " -8x - 3x" because we can write 24 as 8 × 3.

$\sf x^{2} - 8x - 3x + 24$

x(x - 8) -3(x - 8)

(x - 3)(x - 8).

Verification :-

Multiplying (x - 3)(x - 8) :-

(x - 3) $\sf\times$ (x - 8)

x$\sf\times$(x - 8) - 3$\sf\times$(x - 8)

x $\sf\times$(x) - x $\sf\times$(8) - 3 $\sf\times$(x) + 3 $\sf\times$ 8

$\sf x^{2} - 8x - 3x + 24$

$\sf x^{2} - 11x + 24$

Therefore We got given equation only.

Hence , Verified.

Know More :-

Quadratic Formula :-

$\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$