Question

what is the degree of polynomial (x+1) (x²-3x+6)​

Answer 1

FINAL ANSWER:-

3 is the degree of polynomial

SOLUTION:-

$(x+1) (x^{2}-3x+6)$​  [∵first simplify equation↓↓↓]

$=(x+1) (x^{2}-3x+6)$

$=x(x^{2}-3x+6)+1(x^{2}-3x+6)$

$=x^{3}-3x^{2}+6x+x^{2}-3x+6$

$=x^{3}-3x^{2}+x^{2}+6x-3x+6$ [←now simplify it]

$=x^{3}-2x^{2}+3x+6$

∴ Here exponents (degrees) are :-

$3,2,1$

So,

x³ is the grates variable degree

hence 3 is the degree of polynomial

hope this helps....