Question

in polynomial x²-5x+6 find the sum of its roots​

Answer 1

Answer:

sum of roots = 5

Step-by-step explanation:

$Given \ polynomial, \\ x^2-5x+6 \\\\ it \ is \ of \ the \ form \ ax^2+bx+c \\\\ =>a=1,b=-5,c=6 \\\\ \implies sum \ of \ roots=\frac{-b}{a} \\\\ \implies =\frac{-(-5)}{1} =5 \\\\ -------------------- \\[OR] \\\\ =>x^2-5x+6=0 \\=>x^2-2x-3x+6=0\\=>x(x-2)-3(x-2)=0 \\ =>(x-2)(x-3)=0\\ =>x=2,3 \\\\ The \ roots \ are \ 2 \ and \ 3 \\\\ \implies sum \ of \ roots=2+3=5$