POLYNOMIALS373 Ir the zeroes of the polynomial 2-3++ 1 area- b, a,a+ b

1.	POLYNOMIALS373 Ir the zeroes of the polynomial 2-3++ 1 area- b, a,a+ b, find a and b.İftwo zeroes ofthe polynomíalx4-6x3-26x2+138x-35 are 2 yB, find other zeroes.5.Ifthe polynomial x4一6x3 + 1 6x2-25x + 1 0 is divided by another polynomial r-2x + k,the remainder comes out to be x + a, find k and a.
Answer» 3)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

POLYNOMIALS373 Ir the zeroes of the polynomial 2-3++ 1 area- b, a,a+ b, find a and b.İftwo zeroes ofthe polynomíalx4-6x3-26x2+138x-35 are 2 yB, find other zeroes.5.Ifthe polynomial x4一6x3 + 1 6x2-25x + 1 0 is divided by another polynomial r-2x + k,the remainder comes out to be x + a, find k and a.

Answer»

3)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