Question

factorise= x^2-14x+48

Answer 1

x^2 - 14x + 48

= x^2 - 8x - 6x + 48

= x ( x - 8) -6 (x - 8)

= (x- 6) ( x- 8)

Answer : (x - 6) ( x-8)

Answer 2

Answer:

$\large (x-6)(x-8)$

Step-by-step explanation:

$\large \text{we have to factorise x^2-14x+48 }\\\\\\\large \text{By splitting mid term}\\\\\\\large \text{we have to make (ac=+-b) }\\\\\\\large \text{48= 8\times6 }\\\\\\\large p(x)=x^2-8x-6x+48\\\\\\\large p(x)=x(x-8)-6(x-8)\\\\\\\large p(x)=(x-6)(x-8)$

$\large \text{Zeroes of p(x)}\\\\\\\large x-6=0\\\\\\\large \text{ x=6 or x-8=0 }\\\\\\\large x=8\\\\\\\large \text{Thus we factorise p(x) and we two factors (x-6) and (x-8)}$