Question

Show that 2 and -1/3 are the zeros of the polynomials 3x^3-2×^2-7×-2.Also,find the third zero of the polynomial.
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Answer 1

Answer:

Answer

Given

2

and −

2

are two roots

⇒x

2

−2=0

x

2

−2)

2x

4

−3x

3

−3x

2

+6x−2

(2x

2

−3x+1

(−)2x

4

−4x

2

________________________

−3x

3

+x

2

+6x−2

−3x

3

+6x

(−)(−)

________________________

x

2

−2

x

2

−2

________________________

0

∴2x

2

−3x+1=0 is other equation having two roots

i.e,2x

2

−2x−x+1=0

2x(x−1)−1(x−1)=0

x=1/2 and x=1