10.If the zeros of the polynonmual.x3-3x2 +x+1 be (a - b), band (a+b),

1.	10.If the zeros of the polynonmual.x3-3x2 +x+1 be (a - b), band (a+b), find a and1b
Answer» X³-3x²+x+1The zeroes of the polynomial are (a+b),a, (a-b) Let α=a-bβ=aγ=a+b α+β+γ=-x² coefficient/x³ coefficient a-b+a+a+b=-3/13a=-3a=-3/3a= -1 αβγ= -constant/x³ coefficient (a-b)(a)(a+b)=-1/1(a²-b²)(a)= -1[(-1)²-b²](-1)=-1(1-b²)= -1/-11-b²=11-1=b²b²=0b=√0=0Therefore, a=-1 and b=0 Hence a-b=-1-0=-1

10.If the zeros of the polynonmual.x3-3x2 +x+1 be (a - b), band (a+b), find a and1b

Answer»

X³-3x²+x+1The zeroes of the polynomial are (a+b),a, (a-b) Let α=a-bβ=aγ=a+b

α+β+γ=-x² coefficient/x³ coefficient a-b+a+a+b=-3/13a=-3a=-3/3a= -1

αβγ= -constant/x³ coefficient (a-b)(a)(a+b)=-1/1(a²-b²)(a)= -1[(-1)²-b²](-1)=-1(1-b²)= -1/-11-b²=11-1=b²b²=0b=√0=0Therefore, a=-1 and b=0

Hence a-b=-1-0=-1