Question

If P(x)=
$x {}^{2} -5x + 6$
then P(x-1)=??​

Answer 1

Answer: (x-3)(x-4)

Step-by-step explanation:

P(x)=x²-5x+6

Therefore,

P(x-1)= (x-1)²-5(x-1)+6

= x²-2x+1-5x+5+6

= x²-7x+12

= x²-4x-3x+12

= x(x-4)-3(x-4)

=(x-3)(x-4)