Question

If the zeroes of the polynomial are x³-3x²+x+1​

Answer 1

$\huge\boxed{\fcolorbox{cyan}{red}{Solution:-}}$.

➡Given here.

♠ X³ -3x² +x +1.

= x³ - x² -2x² +2x -x +1.

= x²(x-1)-2x(x-1)-1(x-1).

= (x-1)(x²-2x-1).

➡Now , factor of (x²-2x-1)

♠Use Dharacharya Formula .

X = [- B ± √ (B² -4AC )] /2A.

=> X = [ - (-2) ± √ {(-2)²-4*1*(-1)}]/2*1

=> X = [ 2 ± √ { 4 +4}]/2

=> x = [ 2±√8]/2.

=> X = 2(1±√2)/2.

=> X = (1±√2).

➡So, Factor of this equations .

♠ x = 1, (1±√2).

#BAL #Answerquality

Answer 2

Your answer is attached below.