Question

If the zeroes of the polynomial xcube -3x+x+1 are a-b,a+b,find a and b

Answer 1

Heya mate ur answer

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x-1 and x+1 are factors of polynomial

x-1=0 and x+1 =0

x=1 and x=-1 are zeros of this polynomial

Put both values of x in the polynomial.

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P(1)= 1^3+2(1)^2+a(1) +b=0

1+2+a+b=0

3+a+b=0

a+b= -3

a= -3-b ------ equation 1

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P(-1) =(-1)^3+2(-1)^2+a(-1)+b=0

-1+2-a+b=0

1-a+b=0

-a+b=1

b= 1+a ------ equation 2

Put the value of b in equation 1

a= -3-(1+a)

a= -3-1-a

a= -4-a

a+a= -4

2a= -4

a= -4/2

a= -2

Put the value of a in equation 2

b= 1+(-2)

b= 1-2

b= -1

Therefore the value of a is -2 and value of b is -1

hope this answer helpful u

Answer 2

it may help you. thanks